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Finding the Fourth Proportional to 10,428.53, 15,633.61 and 5,420.36

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Solution

The fourth proportional to 10,428.53, 15,633.61 and 5,420.36 is: 8,125.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.53 : 15,633.61 = 5,420.36 : x
  2. Step 2: Convert to fraction form
    10,428.53/15,633.61 = 5,420.36/x
  3. Step 3: Cross multiply
    10,428.53x = 15,633.61 × 5,420.36
  4. Step 4: Simplify right side
    10,428.53x = 84,739,819.83
  5. Step 5: Solve for x
    x = 84,739,819.83/10,428.53
  6. Step 6: Final answer
    x = 8,125.77

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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.