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Finding the Fourth Proportional to 7,815.72, 11,667.72 and 7,542.24

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Solution

The fourth proportional to 7,815.72, 11,667.72 and 7,542.24 is: 11,259.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815.72 : 11,667.72 = 7,542.24 : x
  2. Step 2: Convert to fraction form
    7,815.72/11,667.72 = 7,542.24/x
  3. Step 3: Cross multiply
    7,815.72x = 11,667.72 × 7,542.24
  4. Step 4: Simplify right side
    7,815.72x = 88,000,744.49
  5. Step 5: Solve for x
    x = 88,000,744.49/7,815.72
  6. Step 6: Final answer
    x = 11,259.45

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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.