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Finding the Fourth Proportional to 8,482.47, 12,719.02 and 6,738.63

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Solution

The fourth proportional to 8,482.47, 12,719.02 and 6,738.63 is: 10,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482.47 : 12,719.02 = 6,738.63 : x
  2. Step 2: Convert to fraction form
    8,482.47/12,719.02 = 6,738.63/x
  3. Step 3: Cross multiply
    8,482.47x = 12,719.02 × 6,738.63
  4. Step 4: Simplify right side
    8,482.47x = 85,708,769.74
  5. Step 5: Solve for x
    x = 85,708,769.74/8,482.47
  6. Step 6: Final answer
    x = 10,104.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.