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Finding the Fourth Proportional to 10,606.54, 14,639.67 and 6,132.88

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Solution

The fourth proportional to 10,606.54, 14,639.67 and 6,132.88 is: 8,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,606.54 : 14,639.67 = 6,132.88 : x
  2. Step 2: Convert to fraction form
    10,606.54/14,639.67 = 6,132.88/x
  3. Step 3: Cross multiply
    10,606.54x = 14,639.67 × 6,132.88
  4. Step 4: Simplify right side
    10,606.54x = 89,783,339.35
  5. Step 5: Solve for x
    x = 89,783,339.35/10,606.54
  6. Step 6: Final answer
    x = 8,464.90

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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.