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Finding the Fourth Proportional to 10,237.88, 15,356.28 and 5,042

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Solution

The fourth proportional to 10,237.88, 15,356.28 and 5,042 is: 7,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,237.88 : 15,356.28 = 5,042 : x
  2. Step 2: Convert to fraction form
    10,237.88/15,356.28 = 5,042/x
  3. Step 3: Cross multiply
    10,237.88x = 15,356.28 × 5,042
  4. Step 4: Simplify right side
    10,237.88x = 77,426,363.76
  5. Step 5: Solve for x
    x = 77,426,363.76/10,237.88
  6. Step 6: Final answer
    x = 7,562.73

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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.