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Finding the Fourth Proportional to 11,366.64, 15,686.68 and 6,398.96

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Solution

The fourth proportional to 11,366.64, 15,686.68 and 6,398.96 is: 8,830.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,366.64 : 15,686.68 = 6,398.96 : x
  2. Step 2: Convert to fraction form
    11,366.64/15,686.68 = 6,398.96/x
  3. Step 3: Cross multiply
    11,366.64x = 15,686.68 × 6,398.96
  4. Step 4: Simplify right side
    11,366.64x = 100,378,437.85
  5. Step 5: Solve for x
    x = 100,378,437.85/11,366.64
  6. Step 6: Final answer
    x = 8,830.97

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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.