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Finding the Fourth Proportional to 10,381.52, 14,326.52 and 5,666.10

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Solution

The fourth proportional to 10,381.52, 14,326.52 and 5,666.10 is: 7,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.52 : 14,326.52 = 5,666.10 : x
  2. Step 2: Convert to fraction form
    10,381.52/14,326.52 = 5,666.10/x
  3. Step 3: Cross multiply
    10,381.52x = 14,326.52 × 5,666.10
  4. Step 4: Simplify right side
    10,381.52x = 81,175,466.64
  5. Step 5: Solve for x
    x = 81,175,466.64/10,381.52
  6. Step 6: Final answer
    x = 7,819.23

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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.