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Finding the Fourth Proportional to 8,542.32, 11,780.16 and 7,595.28

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Solution

The fourth proportional to 8,542.32, 11,780.16 and 7,595.28 is: 10,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.32 : 11,780.16 = 7,595.28 : x
  2. Step 2: Convert to fraction form
    8,542.32/11,780.16 = 7,595.28/x
  3. Step 3: Cross multiply
    8,542.32x = 11,780.16 × 7,595.28
  4. Step 4: Simplify right side
    8,542.32x = 89,473,613.64
  5. Step 5: Solve for x
    x = 89,473,613.64/8,542.32
  6. Step 6: Final answer
    x = 10,474.16

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1.5x scale

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.