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Finding the Fourth Proportional to 10,687.44, 14,747.88 and 6,437.64

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Solution

The fourth proportional to 10,687.44, 14,747.88 and 6,437.64 is: 8,883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.44 : 14,747.88 = 6,437.64 : x
  2. Step 2: Convert to fraction form
    10,687.44/14,747.88 = 6,437.64/x
  3. Step 3: Cross multiply
    10,687.44x = 14,747.88 × 6,437.64
  4. Step 4: Simplify right side
    10,687.44x = 94,941,542.20
  5. Step 5: Solve for x
    x = 94,941,542.20/10,687.44
  6. Step 6: Final answer
    x = 8,883.47

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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.