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Finding the Fourth Proportional to 10,923.40, 16,385.10 and 4,354.30

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Solution

The fourth proportional to 10,923.40, 16,385.10 and 4,354.30 is: 6,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.40 : 16,385.10 = 4,354.30 : x
  2. Step 2: Convert to fraction form
    10,923.40/16,385.10 = 4,354.30/x
  3. Step 3: Cross multiply
    10,923.40x = 16,385.10 × 4,354.30
  4. Step 4: Simplify right side
    10,923.40x = 71,345,640.93
  5. Step 5: Solve for x
    x = 71,345,640.93/10,923.40
  6. Step 6: Final answer
    x = 6,531.45

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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.