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Finding the Fourth Proportional to 10,288.46, 15,358.16 and 9,042.82

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Solution

The fourth proportional to 10,288.46, 15,358.16 and 9,042.82 is: 13,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.46 : 15,358.16 = 9,042.82 : x
  2. Step 2: Convert to fraction form
    10,288.46/15,358.16 = 9,042.82/x
  3. Step 3: Cross multiply
    10,288.46x = 15,358.16 × 9,042.82
  4. Step 4: Simplify right side
    10,288.46x = 138,881,076.41
  5. Step 5: Solve for x
    x = 138,881,076.41/10,288.46
  6. Step 6: Final answer
    x = 13,498.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.