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Finding the Fourth Proportional to 7,743,657.86, 10,686,508.86 and 4,259,266.13

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Solution

The fourth proportional to 7,743,657.86, 10,686,508.86 and 4,259,266.13 is: 5,877,930.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743,657.86 : 10,686,508.86 = 4,259,266.13 : x
  2. Step 2: Convert to fraction form
    7,743,657.86/10,686,508.86 = 4,259,266.13/x
  3. Step 3: Cross multiply
    7,743,657.86x = 10,686,508.86 × 4,259,266.13
  4. Step 4: Simplify right side
    7,743,657.86x = 45,516,685,181,910.37
  5. Step 5: Solve for x
    x = 45,516,685,181,910.37/7,743,657.86
  6. Step 6: Final answer
    x = 5,877,930.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.