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Finding the Fourth Proportional to 10,710.20, 14,777.86 and 7,351.78

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Solution

The fourth proportional to 10,710.20, 14,777.86 and 7,351.78 is: 10,143.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.20 : 14,777.86 = 7,351.78 : x
  2. Step 2: Convert to fraction form
    10,710.20/14,777.86 = 7,351.78/x
  3. Step 3: Cross multiply
    10,710.20x = 14,777.86 × 7,351.78
  4. Step 4: Simplify right side
    10,710.20x = 108,643,575.59
  5. Step 5: Solve for x
    x = 108,643,575.59/10,710.20
  6. Step 6: Final answer
    x = 10,143.94

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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.