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Finding the Fourth Proportional to 10,182.80, 15,235.92 and 6,024.76

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Solution

The fourth proportional to 10,182.80, 15,235.92 and 6,024.76 is: 9,014.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.80 : 15,235.92 = 6,024.76 : x
  2. Step 2: Convert to fraction form
    10,182.80/15,235.92 = 6,024.76/x
  3. Step 3: Cross multiply
    10,182.80x = 15,235.92 × 6,024.76
  4. Step 4: Simplify right side
    10,182.80x = 91,792,761.38
  5. Step 5: Solve for x
    x = 91,792,761.38/10,182.80
  6. Step 6: Final answer
    x = 9,014.49

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Why These Related Problems?

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