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Finding the Fourth Proportional to 10,296.29, 15,432.48 and 4,737.96

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Solution

The fourth proportional to 10,296.29, 15,432.48 and 4,737.96 is: 7,101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.29 : 15,432.48 = 4,737.96 : x
  2. Step 2: Convert to fraction form
    10,296.29/15,432.48 = 4,737.96/x
  3. Step 3: Cross multiply
    10,296.29x = 15,432.48 × 4,737.96
  4. Step 4: Simplify right side
    10,296.29x = 73,118,472.94
  5. Step 5: Solve for x
    x = 73,118,472.94/10,296.29
  6. Step 6: Final answer
    x = 7,101.44

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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.