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Finding the Fourth Proportional to 10,174.60, 15,232.20 and 7,258.60

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Solution

The fourth proportional to 10,174.60, 15,232.20 and 7,258.60 is: 10,866.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.60 : 15,232.20 = 7,258.60 : x
  2. Step 2: Convert to fraction form
    10,174.60/15,232.20 = 7,258.60/x
  3. Step 3: Cross multiply
    10,174.60x = 15,232.20 × 7,258.60
  4. Step 4: Simplify right side
    10,174.60x = 110,564,446.92
  5. Step 5: Solve for x
    x = 110,564,446.92/10,174.60
  6. Step 6: Final answer
    x = 10,866.71

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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.