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Finding the Fourth Proportional to 10,553.91, 14,563.92 and 5,773.74

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Solution

The fourth proportional to 10,553.91, 14,563.92 and 5,773.74 is: 7,967.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.91 : 14,563.92 = 5,773.74 : x
  2. Step 2: Convert to fraction form
    10,553.91/14,563.92 = 5,773.74/x
  3. Step 3: Cross multiply
    10,553.91x = 14,563.92 × 5,773.74
  4. Step 4: Simplify right side
    10,553.91x = 84,088,287.46
  5. Step 5: Solve for x
    x = 84,088,287.46/10,553.91
  6. Step 6: Final answer
    x = 7,967.50

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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.