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Finding the Fourth Proportional to 10,938.80, 16,370.40 and 6,559.40

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Solution

The fourth proportional to 10,938.80, 16,370.40 and 6,559.40 is: 9,816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.80 : 16,370.40 = 6,559.40 : x
  2. Step 2: Convert to fraction form
    10,938.80/16,370.40 = 6,559.40/x
  3. Step 3: Cross multiply
    10,938.80x = 16,370.40 × 6,559.40
  4. Step 4: Simplify right side
    10,938.80x = 107,380,001.76
  5. Step 5: Solve for x
    x = 107,380,001.76/10,938.80
  6. Step 6: Final answer
    x = 9,816.43

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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.