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Finding the Fourth Proportional to 8,525.85, 12,788.47 and 4,142.13

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Solution

The fourth proportional to 8,525.85, 12,788.47 and 4,142.13 is: 6,213.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.85 : 12,788.47 = 4,142.13 : x
  2. Step 2: Convert to fraction form
    8,525.85/12,788.47 = 4,142.13/x
  3. Step 3: Cross multiply
    8,525.85x = 12,788.47 × 4,142.13
  4. Step 4: Simplify right side
    8,525.85x = 52,971,505.24
  5. Step 5: Solve for x
    x = 52,971,505.24/8,525.85
  6. Step 6: Final answer
    x = 6,213.05

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