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Finding the Fourth Proportional to 10,617.42, 15,909.53 and 6,713.63

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Solution

The fourth proportional to 10,617.42, 15,909.53 and 6,713.63 is: 10,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.42 : 15,909.53 = 6,713.63 : x
  2. Step 2: Convert to fraction form
    10,617.42/15,909.53 = 6,713.63/x
  3. Step 3: Cross multiply
    10,617.42x = 15,909.53 × 6,713.63
  4. Step 4: Simplify right side
    10,617.42x = 106,810,584.78
  5. Step 5: Solve for x
    x = 106,810,584.78/10,617.42
  6. Step 6: Final answer
    x = 10,059.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.