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Finding the Fourth Proportional to 11,042, 15,237.76 and 6,261.92

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Solution

The fourth proportional to 11,042, 15,237.76 and 6,261.92 is: 8,641.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042 : 15,237.76 = 6,261.92 : x
  2. Step 2: Convert to fraction form
    11,042/15,237.76 = 6,261.92/x
  3. Step 3: Cross multiply
    11,042x = 15,237.76 × 6,261.92
  4. Step 4: Simplify right side
    11,042x = 95,417,634.10
  5. Step 5: Solve for x
    x = 95,417,634.10/11,042
  6. Step 6: Final answer
    x = 8,641.34

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