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Finding the Fourth Proportional to 11,901.80, 16,423.34 and 6,865

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Solution

The fourth proportional to 11,901.80, 16,423.34 and 6,865 is: 9,473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901.80 : 16,423.34 = 6,865 : x
  2. Step 2: Convert to fraction form
    11,901.80/16,423.34 = 6,865/x
  3. Step 3: Cross multiply
    11,901.80x = 16,423.34 × 6,865
  4. Step 4: Simplify right side
    11,901.80x = 112,746,229.10
  5. Step 5: Solve for x
    x = 112,746,229.10/11,901.80
  6. Step 6: Final answer
    x = 9,473.04

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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.