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Finding the Fourth Proportional to 11,398.75, 15,728.38 and 7,615.85

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Solution

The fourth proportional to 11,398.75, 15,728.38 and 7,615.85 is: 10,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.75 : 15,728.38 = 7,615.85 : x
  2. Step 2: Convert to fraction form
    11,398.75/15,728.38 = 7,615.85/x
  3. Step 3: Cross multiply
    11,398.75x = 15,728.38 × 7,615.85
  4. Step 4: Simplify right side
    11,398.75x = 119,784,885.14
  5. Step 5: Solve for x
    x = 119,784,885.14/11,398.75
  6. Step 6: Final answer
    x = 10,508.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.