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Finding the Fourth Proportional to 11,494.20, 15,865.02 and 6,780

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Solution

The fourth proportional to 11,494.20, 15,865.02 and 6,780 is: 9,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.20 : 15,865.02 = 6,780 : x
  2. Step 2: Convert to fraction form
    11,494.20/15,865.02 = 6,780/x
  3. Step 3: Cross multiply
    11,494.20x = 15,865.02 × 6,780
  4. Step 4: Simplify right side
    11,494.20x = 107,564,835.60
  5. Step 5: Solve for x
    x = 107,564,835.60/11,494.20
  6. Step 6: Final answer
    x = 9,358.18

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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.