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Finding the Fourth Proportional to 8,524.07, 12,775.35 and 4,565.50

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Solution

The fourth proportional to 8,524.07, 12,775.35 and 4,565.50 is: 6,842.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.07 : 12,775.35 = 4,565.50 : x
  2. Step 2: Convert to fraction form
    8,524.07/12,775.35 = 4,565.50/x
  3. Step 3: Cross multiply
    8,524.07x = 12,775.35 × 4,565.50
  4. Step 4: Simplify right side
    8,524.07x = 58,325,860.43
  5. Step 5: Solve for x
    x = 58,325,860.43/8,524.07
  6. Step 6: Final answer
    x = 6,842.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.