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Finding the Fourth Proportional to 10,524.76, 15,773.47 and 4,277.50

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Solution

The fourth proportional to 10,524.76, 15,773.47 and 4,277.50 is: 6,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.76 : 15,773.47 = 4,277.50 : x
  2. Step 2: Convert to fraction form
    10,524.76/15,773.47 = 4,277.50/x
  3. Step 3: Cross multiply
    10,524.76x = 15,773.47 × 4,277.50
  4. Step 4: Simplify right side
    10,524.76x = 67,471,012.16
  5. Step 5: Solve for x
    x = 67,471,012.16/10,524.76
  6. Step 6: Final answer
    x = 6,410.69

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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.