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Finding the Fourth Proportional to 8,657.09, 11,944.13 and 5,296.40

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Solution

The fourth proportional to 8,657.09, 11,944.13 and 5,296.40 is: 7,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.09 : 11,944.13 = 5,296.40 : x
  2. Step 2: Convert to fraction form
    8,657.09/11,944.13 = 5,296.40/x
  3. Step 3: Cross multiply
    8,657.09x = 11,944.13 × 5,296.40
  4. Step 4: Simplify right side
    8,657.09x = 63,260,890.13
  5. Step 5: Solve for x
    x = 63,260,890.13/8,657.09
  6. Step 6: Final answer
    x = 7,307.41

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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.