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Finding the Fourth Proportional to 10,542.78, 14,551.52 and 6,958.40

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Solution

The fourth proportional to 10,542.78, 14,551.52 and 6,958.40 is: 9,604.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.78 : 14,551.52 = 6,958.40 : x
  2. Step 2: Convert to fraction form
    10,542.78/14,551.52 = 6,958.40/x
  3. Step 3: Cross multiply
    10,542.78x = 14,551.52 × 6,958.40
  4. Step 4: Simplify right side
    10,542.78x = 101,255,189.22
  5. Step 5: Solve for x
    x = 101,255,189.22/10,542.78
  6. Step 6: Final answer
    x = 9,604.22

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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.