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Finding the Fourth Proportional to 10,869.60, 15,002.25 and 7,093.38

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Solution

The fourth proportional to 10,869.60, 15,002.25 and 7,093.38 is: 9,790.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.60 : 15,002.25 = 7,093.38 : x
  2. Step 2: Convert to fraction form
    10,869.60/15,002.25 = 7,093.38/x
  3. Step 3: Cross multiply
    10,869.60x = 15,002.25 × 7,093.38
  4. Step 4: Simplify right side
    10,869.60x = 106,416,660.11
  5. Step 5: Solve for x
    x = 106,416,660.11/10,869.60
  6. Step 6: Final answer
    x = 9,790.30

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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.