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Finding the Fourth Proportional to 5,142.76, 7,714.14 and 1,247.16

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Solution

The fourth proportional to 5,142.76, 7,714.14 and 1,247.16 is: 1,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.76 : 7,714.14 = 1,247.16 : x
  2. Step 2: Convert to fraction form
    5,142.76/7,714.14 = 1,247.16/x
  3. Step 3: Cross multiply
    5,142.76x = 7,714.14 × 1,247.16
  4. Step 4: Simplify right side
    5,142.76x = 9,620,766.84
  5. Step 5: Solve for x
    x = 9,620,766.84/5,142.76
  6. Step 6: Final answer
    x = 1,870.74

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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.