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Finding the Fourth Proportional to 10,440.72, 15,652.28 and 7,145.68

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Solution

The fourth proportional to 10,440.72, 15,652.28 and 7,145.68 is: 10,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.72 : 15,652.28 = 7,145.68 : x
  2. Step 2: Convert to fraction form
    10,440.72/15,652.28 = 7,145.68/x
  3. Step 3: Cross multiply
    10,440.72x = 15,652.28 × 7,145.68
  4. Step 4: Simplify right side
    10,440.72x = 111,846,184.15
  5. Step 5: Solve for x
    x = 111,846,184.15/10,440.72
  6. Step 6: Final answer
    x = 10,712.50

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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.