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Finding the Fourth Proportional to 11,523.80, 15,903.14 and 6,488.20

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Solution

The fourth proportional to 11,523.80, 15,903.14 and 6,488.20 is: 8,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.80 : 15,903.14 = 6,488.20 : x
  2. Step 2: Convert to fraction form
    11,523.80/15,903.14 = 6,488.20/x
  3. Step 3: Cross multiply
    11,523.80x = 15,903.14 × 6,488.20
  4. Step 4: Simplify right side
    11,523.80x = 103,182,752.95
  5. Step 5: Solve for x
    x = 103,182,752.95/11,523.80
  6. Step 6: Final answer
    x = 8,953.88

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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.