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Finding the Fourth Proportional to 10,524.59, 15,761.74 and 5,832.96

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Solution

The fourth proportional to 10,524.59, 15,761.74 and 5,832.96 is: 8,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524.59 : 15,761.74 = 5,832.96 : x
  2. Step 2: Convert to fraction form
    10,524.59/15,761.74 = 5,832.96/x
  3. Step 3: Cross multiply
    10,524.59x = 15,761.74 × 5,832.96
  4. Step 4: Simplify right side
    10,524.59x = 91,937,598.95
  5. Step 5: Solve for x
    x = 91,937,598.95/10,524.59
  6. Step 6: Final answer
    x = 8,735.50

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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.