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Finding the Fourth Proportional to 6,143.76, 8,477.10 and 3,904.82

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Solution

The fourth proportional to 6,143.76, 8,477.10 and 3,904.82 is: 5,387.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.76 : 8,477.10 = 3,904.82 : x
  2. Step 2: Convert to fraction form
    6,143.76/8,477.10 = 3,904.82/x
  3. Step 3: Cross multiply
    6,143.76x = 8,477.10 × 3,904.82
  4. Step 4: Simplify right side
    6,143.76x = 33,101,549.62
  5. Step 5: Solve for x
    x = 33,101,549.62/6,143.76
  6. Step 6: Final answer
    x = 5,387.83

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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.