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Finding the Fourth Proportional to 10,463.76, 14,441.13 and 5,987.97

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Solution

The fourth proportional to 10,463.76, 14,441.13 and 5,987.97 is: 8,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.76 : 14,441.13 = 5,987.97 : x
  2. Step 2: Convert to fraction form
    10,463.76/14,441.13 = 5,987.97/x
  3. Step 3: Cross multiply
    10,463.76x = 14,441.13 × 5,987.97
  4. Step 4: Simplify right side
    10,463.76x = 86,473,053.21
  5. Step 5: Solve for x
    x = 86,473,053.21/10,463.76
  6. Step 6: Final answer
    x = 8,264.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.