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Finding the Fourth Proportional to 10,560.56, 15,831.10 and 5,016.50

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Solution

The fourth proportional to 10,560.56, 15,831.10 and 5,016.50 is: 7,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,560.56 : 15,831.10 = 5,016.50 : x
  2. Step 2: Convert to fraction form
    10,560.56/15,831.10 = 5,016.50/x
  3. Step 3: Cross multiply
    10,560.56x = 15,831.10 × 5,016.50
  4. Step 4: Simplify right side
    10,560.56x = 79,416,713.15
  5. Step 5: Solve for x
    x = 79,416,713.15/10,560.56
  6. Step 6: Final answer
    x = 7,520.12

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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.