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Finding the Fourth Proportional to 10,956.90, 16,442.10 and 4,382.40

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Solution

The fourth proportional to 10,956.90, 16,442.10 and 4,382.40 is: 6,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.90 : 16,442.10 = 4,382.40 : x
  2. Step 2: Convert to fraction form
    10,956.90/16,442.10 = 4,382.40/x
  3. Step 3: Cross multiply
    10,956.90x = 16,442.10 × 4,382.40
  4. Step 4: Simplify right side
    10,956.90x = 72,055,859.04
  5. Step 5: Solve for x
    x = 72,055,859.04/10,956.90
  6. Step 6: Final answer
    x = 6,576.30

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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.