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Finding the Fourth Proportional to 10,233.68, 14,123.16 and 7,711.34

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Solution

The fourth proportional to 10,233.68, 14,123.16 and 7,711.34 is: 10,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.68 : 14,123.16 = 7,711.34 : x
  2. Step 2: Convert to fraction form
    10,233.68/14,123.16 = 7,711.34/x
  3. Step 3: Cross multiply
    10,233.68x = 14,123.16 × 7,711.34
  4. Step 4: Simplify right side
    10,233.68x = 108,908,418.02
  5. Step 5: Solve for x
    x = 108,908,418.02/10,233.68
  6. Step 6: Final answer
    x = 10,642.16

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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.