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Finding the Fourth Proportional to 11,042, 15,238.62 and 6,262.13

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Solution

The fourth proportional to 11,042, 15,238.62 and 6,262.13 is: 8,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042 : 15,238.62 = 6,262.13 : x
  2. Step 2: Convert to fraction form
    11,042/15,238.62 = 6,262.13/x
  3. Step 3: Cross multiply
    11,042x = 15,238.62 × 6,262.13
  4. Step 4: Simplify right side
    11,042x = 95,426,219.46
  5. Step 5: Solve for x
    x = 95,426,219.46/11,042
  6. Step 6: Final answer
    x = 8,642.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.