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Finding the Fourth Proportional to 7,870.56, 10,863.04 and 4,513.92

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Solution

The fourth proportional to 7,870.56, 10,863.04 and 4,513.92 is: 6,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.56 : 10,863.04 = 4,513.92 : x
  2. Step 2: Convert to fraction form
    7,870.56/10,863.04 = 4,513.92/x
  3. Step 3: Cross multiply
    7,870.56x = 10,863.04 × 4,513.92
  4. Step 4: Simplify right side
    7,870.56x = 49,034,893.52
  5. Step 5: Solve for x
    x = 49,034,893.52/7,870.56
  6. Step 6: Final answer
    x = 6,230.17

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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.