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Finding the Fourth Proportional to 10,863.70, 16,298.84 and 4,541.65

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Solution

The fourth proportional to 10,863.70, 16,298.84 and 4,541.65 is: 6,813.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,863.70 : 16,298.84 = 4,541.65 : x
  2. Step 2: Convert to fraction form
    10,863.70/16,298.84 = 4,541.65/x
  3. Step 3: Cross multiply
    10,863.70x = 16,298.84 × 4,541.65
  4. Step 4: Simplify right side
    10,863.70x = 74,023,597.29
  5. Step 5: Solve for x
    x = 74,023,597.29/10,863.70
  6. Step 6: Final answer
    x = 6,813.85

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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.