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Finding the Fourth Proportional to 10,038.92, 15,053.70 and 5,357.66

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Solution

The fourth proportional to 10,038.92, 15,053.70 and 5,357.66 is: 8,033.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.92 : 15,053.70 = 5,357.66 : x
  2. Step 2: Convert to fraction form
    10,038.92/15,053.70 = 5,357.66/x
  3. Step 3: Cross multiply
    10,038.92x = 15,053.70 × 5,357.66
  4. Step 4: Simplify right side
    10,038.92x = 80,652,606.34
  5. Step 5: Solve for x
    x = 80,652,606.34/10,038.92
  6. Step 6: Final answer
    x = 8,033.99

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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.