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Finding the Fourth Proportional to 11,476.32, 15,837.84 and 8,988

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Solution

The fourth proportional to 11,476.32, 15,837.84 and 8,988 is: 12,403.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,476.32 : 15,837.84 = 8,988 : x
  2. Step 2: Convert to fraction form
    11,476.32/15,837.84 = 8,988/x
  3. Step 3: Cross multiply
    11,476.32x = 15,837.84 × 8,988
  4. Step 4: Simplify right side
    11,476.32x = 142,350,505.92
  5. Step 5: Solve for x
    x = 142,350,505.92/11,476.32
  6. Step 6: Final answer
    x = 12,403.85

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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.