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Finding the Fourth Proportional to 10,462.80, 14,438.90 and 5,986.97

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Solution

The fourth proportional to 10,462.80, 14,438.90 and 5,986.97 is: 8,262.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.80 : 14,438.90 = 5,986.97 : x
  2. Step 2: Convert to fraction form
    10,462.80/14,438.90 = 5,986.97/x
  3. Step 3: Cross multiply
    10,462.80x = 14,438.90 × 5,986.97
  4. Step 4: Simplify right side
    10,462.80x = 86,445,159.00
  5. Step 5: Solve for x
    x = 86,445,159.00/10,462.80
  6. Step 6: Final answer
    x = 8,262.14

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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.