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Finding the Fourth Proportional to 11,337.11, 15,638.15 and 7,794.17

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Solution

The fourth proportional to 11,337.11, 15,638.15 and 7,794.17 is: 10,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.11 : 15,638.15 = 7,794.17 : x
  2. Step 2: Convert to fraction form
    11,337.11/15,638.15 = 7,794.17/x
  3. Step 3: Cross multiply
    11,337.11x = 15,638.15 × 7,794.17
  4. Step 4: Simplify right side
    11,337.11x = 121,886,399.59
  5. Step 5: Solve for x
    x = 121,886,399.59/11,337.11
  6. Step 6: Final answer
    x = 10,751.10

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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.