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Finding the Fourth Proportional to 7,495.50, 11,243.24 and 2,565.18

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Solution

The fourth proportional to 7,495.50, 11,243.24 and 2,565.18 is: 3,847.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,495.50 : 11,243.24 = 2,565.18 : x
  2. Step 2: Convert to fraction form
    7,495.50/11,243.24 = 2,565.18/x
  3. Step 3: Cross multiply
    7,495.50x = 11,243.24 × 2,565.18
  4. Step 4: Simplify right side
    7,495.50x = 28,840,934.38
  5. Step 5: Solve for x
    x = 28,840,934.38/7,495.50
  6. Step 6: Final answer
    x = 3,847.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.