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Finding the Fourth Proportional to 6,147.53, 8,476.87 and 4,154.63

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Solution

The fourth proportional to 6,147.53, 8,476.87 and 4,154.63 is: 5,728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.53 : 8,476.87 = 4,154.63 : x
  2. Step 2: Convert to fraction form
    6,147.53/8,476.87 = 4,154.63/x
  3. Step 3: Cross multiply
    6,147.53x = 8,476.87 × 4,154.63
  4. Step 4: Simplify right side
    6,147.53x = 35,218,258.41
  5. Step 5: Solve for x
    x = 35,218,258.41/6,147.53
  6. Step 6: Final answer
    x = 5,728.85

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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.