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Finding the Fourth Proportional to 11,275.20, 15,559.83 and 6,559.65

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Solution

The fourth proportional to 11,275.20, 15,559.83 and 6,559.65 is: 9,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.20 : 15,559.83 = 6,559.65 : x
  2. Step 2: Convert to fraction form
    11,275.20/15,559.83 = 6,559.65/x
  3. Step 3: Cross multiply
    11,275.20x = 15,559.83 × 6,559.65
  4. Step 4: Simplify right side
    11,275.20x = 102,067,038.86
  5. Step 5: Solve for x
    x = 102,067,038.86/11,275.20
  6. Step 6: Final answer
    x = 9,052.35

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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.