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Finding the Fourth Proportional to 8,490.24, 12,726.72 and 7,861.68

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Solution

The fourth proportional to 8,490.24, 12,726.72 and 7,861.68 is: 11,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.24 : 12,726.72 = 7,861.68 : x
  2. Step 2: Convert to fraction form
    8,490.24/12,726.72 = 7,861.68/x
  3. Step 3: Cross multiply
    8,490.24x = 12,726.72 × 7,861.68
  4. Step 4: Simplify right side
    8,490.24x = 100,053,400.09
  5. Step 5: Solve for x
    x = 100,053,400.09/8,490.24
  6. Step 6: Final answer
    x = 11,784.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.