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Finding the Fourth Proportional to 10,635.68, 14,674.56 and 6,443.12

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Solution

The fourth proportional to 10,635.68, 14,674.56 and 6,443.12 is: 8,889.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,635.68 : 14,674.56 = 6,443.12 : x
  2. Step 2: Convert to fraction form
    10,635.68/14,674.56 = 6,443.12/x
  3. Step 3: Cross multiply
    10,635.68x = 14,674.56 × 6,443.12
  4. Step 4: Simplify right side
    10,635.68x = 94,549,951.03
  5. Step 5: Solve for x
    x = 94,549,951.03/10,635.68
  6. Step 6: Final answer
    x = 8,889.88

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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.