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Finding the Fourth Proportional to 10,463.86, 15,696.33 and 2,672.74

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Solution

The fourth proportional to 10,463.86, 15,696.33 and 2,672.74 is: 4,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.86 : 15,696.33 = 2,672.74 : x
  2. Step 2: Convert to fraction form
    10,463.86/15,696.33 = 2,672.74/x
  3. Step 3: Cross multiply
    10,463.86x = 15,696.33 × 2,672.74
  4. Step 4: Simplify right side
    10,463.86x = 41,952,209.04
  5. Step 5: Solve for x
    x = 41,952,209.04/10,463.86
  6. Step 6: Final answer
    x = 4,009.25

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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.