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Finding the Fourth Proportional to 10,354.28, 15,526.15 and 5,089.68

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Solution

The fourth proportional to 10,354.28, 15,526.15 and 5,089.68 is: 7,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.28 : 15,526.15 = 5,089.68 : x
  2. Step 2: Convert to fraction form
    10,354.28/15,526.15 = 5,089.68/x
  3. Step 3: Cross multiply
    10,354.28x = 15,526.15 × 5,089.68
  4. Step 4: Simplify right side
    10,354.28x = 79,023,122.41
  5. Step 5: Solve for x
    x = 79,023,122.41/10,354.28
  6. Step 6: Final answer
    x = 7,631.93

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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.