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Finding the Fourth Proportional to 10,462.97, 14,436.63 and 5,988.13

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Solution

The fourth proportional to 10,462.97, 14,436.63 and 5,988.13 is: 8,262.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.97 : 14,436.63 = 5,988.13 : x
  2. Step 2: Convert to fraction form
    10,462.97/14,436.63 = 5,988.13/x
  3. Step 3: Cross multiply
    10,462.97x = 14,436.63 × 5,988.13
  4. Step 4: Simplify right side
    10,462.97x = 86,448,381.11
  5. Step 5: Solve for x
    x = 86,448,381.11/10,462.97
  6. Step 6: Final answer
    x = 8,262.32

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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.