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Finding the Fourth Proportional to 10,272.66, 14,184.92 and 6,502.48

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Solution

The fourth proportional to 10,272.66, 14,184.92 and 6,502.48 is: 8,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.66 : 14,184.92 = 6,502.48 : x
  2. Step 2: Convert to fraction form
    10,272.66/14,184.92 = 6,502.48/x
  3. Step 3: Cross multiply
    10,272.66x = 14,184.92 × 6,502.48
  4. Step 4: Simplify right side
    10,272.66x = 92,237,158.60
  5. Step 5: Solve for x
    x = 92,237,158.60/10,272.66
  6. Step 6: Final answer
    x = 8,978.90

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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.