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Finding the Fourth Proportional to 11,512.37, 15,886.72 and 6,476.87

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Solution

The fourth proportional to 11,512.37, 15,886.72 and 6,476.87 is: 8,937.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.37 : 15,886.72 = 6,476.87 : x
  2. Step 2: Convert to fraction form
    11,512.37/15,886.72 = 6,476.87/x
  3. Step 3: Cross multiply
    11,512.37x = 15,886.72 × 6,476.87
  4. Step 4: Simplify right side
    11,512.37x = 102,896,220.17
  5. Step 5: Solve for x
    x = 102,896,220.17/11,512.37
  6. Step 6: Final answer
    x = 8,937.88

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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.