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Finding the Fourth Proportional to 11,394.50, 15,724.38 and 6,358.66

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Solution

The fourth proportional to 11,394.50, 15,724.38 and 6,358.66 is: 8,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,394.50 : 15,724.38 = 6,358.66 : x
  2. Step 2: Convert to fraction form
    11,394.50/15,724.38 = 6,358.66/x
  3. Step 3: Cross multiply
    11,394.50x = 15,724.38 × 6,358.66
  4. Step 4: Simplify right side
    11,394.50x = 99,986,045.46
  5. Step 5: Solve for x
    x = 99,986,045.46/11,394.50
  6. Step 6: Final answer
    x = 8,774.94

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Why These Related Problems?

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