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Finding the Fourth Proportional to 10,354.34, 15,506.19 and 5,428.10

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Solution

The fourth proportional to 10,354.34, 15,506.19 and 5,428.10 is: 8,128.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.34 : 15,506.19 = 5,428.10 : x
  2. Step 2: Convert to fraction form
    10,354.34/15,506.19 = 5,428.10/x
  3. Step 3: Cross multiply
    10,354.34x = 15,506.19 × 5,428.10
  4. Step 4: Simplify right side
    10,354.34x = 84,169,149.94
  5. Step 5: Solve for x
    x = 84,169,149.94/10,354.34
  6. Step 6: Final answer
    x = 8,128.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.