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Finding the Fourth Proportional to 11,524.50, 15,903.72 and 6,488.76

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Solution

The fourth proportional to 11,524.50, 15,903.72 and 6,488.76 is: 8,954.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.50 : 15,903.72 = 6,488.76 : x
  2. Step 2: Convert to fraction form
    11,524.50/15,903.72 = 6,488.76/x
  3. Step 3: Cross multiply
    11,524.50x = 15,903.72 × 6,488.76
  4. Step 4: Simplify right side
    11,524.50x = 103,195,422.19
  5. Step 5: Solve for x
    x = 103,195,422.19/11,524.50
  6. Step 6: Final answer
    x = 8,954.44

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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.