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Finding the Fourth Proportional to 7,542.63, 11,263.14 and 6,158.66

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Solution

The fourth proportional to 7,542.63, 11,263.14 and 6,158.66 is: 9,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.63 : 11,263.14 = 6,158.66 : x
  2. Step 2: Convert to fraction form
    7,542.63/11,263.14 = 6,158.66/x
  3. Step 3: Cross multiply
    7,542.63x = 11,263.14 × 6,158.66
  4. Step 4: Simplify right side
    7,542.63x = 69,365,793.48
  5. Step 5: Solve for x
    x = 69,365,793.48/7,542.63
  6. Step 6: Final answer
    x = 9,196.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.