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Finding the Fourth Proportional to 11,461.52, 15,817.84 and 6,425.66

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Solution

The fourth proportional to 11,461.52, 15,817.84 and 6,425.66 is: 8,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.52 : 15,817.84 = 6,425.66 : x
  2. Step 2: Convert to fraction form
    11,461.52/15,817.84 = 6,425.66/x
  3. Step 3: Cross multiply
    11,461.52x = 15,817.84 × 6,425.66
  4. Step 4: Simplify right side
    11,461.52x = 101,640,061.77
  5. Step 5: Solve for x
    x = 101,640,061.77/11,461.52
  6. Step 6: Final answer
    x = 8,867.94

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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.