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Finding the Fourth Proportional to 8,525.86, 11,761.52 and 7,344.88

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Solution

The fourth proportional to 8,525.86, 11,761.52 and 7,344.88 is: 10,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.86 : 11,761.52 = 7,344.88 : x
  2. Step 2: Convert to fraction form
    8,525.86/11,761.52 = 7,344.88/x
  3. Step 3: Cross multiply
    8,525.86x = 11,761.52 × 7,344.88
  4. Step 4: Simplify right side
    8,525.86x = 86,386,953.02
  5. Step 5: Solve for x
    x = 86,386,953.02/8,525.86
  6. Step 6: Final answer
    x = 10,132.34

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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.