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Finding the Fourth Proportional to 11,546.60, 15,934.11 and 6,510.83

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Solution

The fourth proportional to 11,546.60, 15,934.11 and 6,510.83 is: 8,984.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.60 : 15,934.11 = 6,510.83 : x
  2. Step 2: Convert to fraction form
    11,546.60/15,934.11 = 6,510.83/x
  3. Step 3: Cross multiply
    11,546.60x = 15,934.11 × 6,510.83
  4. Step 4: Simplify right side
    11,546.60x = 103,744,281.41
  5. Step 5: Solve for x
    x = 103,744,281.41/11,546.60
  6. Step 6: Final answer
    x = 8,984.83

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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.