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Finding the Fourth Proportional to 8,743.60, 12,069.68 and 5,206.16

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Solution

The fourth proportional to 8,743.60, 12,069.68 and 5,206.16 is: 7,186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,743.60 : 12,069.68 = 5,206.16 : x
  2. Step 2: Convert to fraction form
    8,743.60/12,069.68 = 5,206.16/x
  3. Step 3: Cross multiply
    8,743.60x = 12,069.68 × 5,206.16
  4. Step 4: Simplify right side
    8,743.60x = 62,836,685.23
  5. Step 5: Solve for x
    x = 62,836,685.23/8,743.60
  6. Step 6: Final answer
    x = 7,186.59

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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.