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Finding the Fourth Proportional to 11,548.76, 15,937 and 6,512.96

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Solution

The fourth proportional to 11,548.76, 15,937 and 6,512.96 is: 8,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.76 : 15,937 = 6,512.96 : x
  2. Step 2: Convert to fraction form
    11,548.76/15,937 = 6,512.96/x
  3. Step 3: Cross multiply
    11,548.76x = 15,937 × 6,512.96
  4. Step 4: Simplify right side
    11,548.76x = 103,797,043.52
  5. Step 5: Solve for x
    x = 103,797,043.52/11,548.76
  6. Step 6: Final answer
    x = 8,987.72

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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.