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Finding the Fourth Proportional to 10,650.39, 15,975.59 and 8,356.47

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Solution

The fourth proportional to 10,650.39, 15,975.59 and 8,356.47 is: 12,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.39 : 15,975.59 = 8,356.47 : x
  2. Step 2: Convert to fraction form
    10,650.39/15,975.59 = 8,356.47/x
  3. Step 3: Cross multiply
    10,650.39x = 15,975.59 × 8,356.47
  4. Step 4: Simplify right side
    10,650.39x = 133,499,496.78
  5. Step 5: Solve for x
    x = 133,499,496.78/10,650.39
  6. Step 6: Final answer
    x = 12,534.71

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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.