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Finding the Fourth Proportional to 10,708.45, 14,781.92 and 7,259.83

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Solution

The fourth proportional to 10,708.45, 14,781.92 and 7,259.83 is: 10,021.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,708.45 : 14,781.92 = 7,259.83 : x
  2. Step 2: Convert to fraction form
    10,708.45/14,781.92 = 7,259.83/x
  3. Step 3: Cross multiply
    10,708.45x = 14,781.92 × 7,259.83
  4. Step 4: Simplify right side
    10,708.45x = 107,314,226.27
  5. Step 5: Solve for x
    x = 107,314,226.27/10,708.45
  6. Step 6: Final answer
    x = 10,021.45

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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.