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Finding the Fourth Proportional to 10,542.39, 14,548.07 and 6,294.15

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Solution

The fourth proportional to 10,542.39, 14,548.07 and 6,294.15 is: 8,685.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.39 : 14,548.07 = 6,294.15 : x
  2. Step 2: Convert to fraction form
    10,542.39/14,548.07 = 6,294.15/x
  3. Step 3: Cross multiply
    10,542.39x = 14,548.07 × 6,294.15
  4. Step 4: Simplify right side
    10,542.39x = 91,567,703.32
  5. Step 5: Solve for x
    x = 91,567,703.32/10,542.39
  6. Step 6: Final answer
    x = 8,685.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.