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Finding the Fourth Proportional to 11,497.20, 15,866.32 and 6,323.30

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Solution

The fourth proportional to 11,497.20, 15,866.32 and 6,323.30 is: 8,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.20 : 15,866.32 = 6,323.30 : x
  2. Step 2: Convert to fraction form
    11,497.20/15,866.32 = 6,323.30/x
  3. Step 3: Cross multiply
    11,497.20x = 15,866.32 × 6,323.30
  4. Step 4: Simplify right side
    11,497.20x = 100,327,475.13
  5. Step 5: Solve for x
    x = 100,327,475.13/11,497.20
  6. Step 6: Final answer
    x = 8,726.25

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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.