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Finding the Fourth Proportional to 11,462.07, 15,817.95 and 6,426.15

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Solution

The fourth proportional to 11,462.07, 15,817.95 and 6,426.15 is: 8,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.07 : 15,817.95 = 6,426.15 : x
  2. Step 2: Convert to fraction form
    11,462.07/15,817.95 = 6,426.15/x
  3. Step 3: Cross multiply
    11,462.07x = 15,817.95 × 6,426.15
  4. Step 4: Simplify right side
    11,462.07x = 101,648,519.39
  5. Step 5: Solve for x
    x = 101,648,519.39/11,462.07
  6. Step 6: Final answer
    x = 8,868.25

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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.