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Finding the Fourth Proportional to 11,329.66, 15,634.40 and 6,294.20

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Solution

The fourth proportional to 11,329.66, 15,634.40 and 6,294.20 is: 8,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,329.66 : 15,634.40 = 6,294.20 : x
  2. Step 2: Convert to fraction form
    11,329.66/15,634.40 = 6,294.20/x
  3. Step 3: Cross multiply
    11,329.66x = 15,634.40 × 6,294.20
  4. Step 4: Simplify right side
    11,329.66x = 98,406,040.48
  5. Step 5: Solve for x
    x = 98,406,040.48/11,329.66
  6. Step 6: Final answer
    x = 8,685.70

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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.