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Finding the Fourth Proportional to 10,934.40, 16,411.20 and 9,379.20

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Solution

The fourth proportional to 10,934.40, 16,411.20 and 9,379.20 is: 14,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.40 : 16,411.20 = 9,379.20 : x
  2. Step 2: Convert to fraction form
    10,934.40/16,411.20 = 9,379.20/x
  3. Step 3: Cross multiply
    10,934.40x = 16,411.20 × 9,379.20
  4. Step 4: Simplify right side
    10,934.40x = 153,923,927.04
  5. Step 5: Solve for x
    x = 153,923,927.04/10,934.40
  6. Step 6: Final answer
    x = 14,077.03

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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.