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Finding the Fourth Proportional to 8,421.80, 12,608.40 and 5,141.30

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Solution

The fourth proportional to 8,421.80, 12,608.40 and 5,141.30 is: 7,697.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.80 : 12,608.40 = 5,141.30 : x
  2. Step 2: Convert to fraction form
    8,421.80/12,608.40 = 5,141.30/x
  3. Step 3: Cross multiply
    8,421.80x = 12,608.40 × 5,141.30
  4. Step 4: Simplify right side
    8,421.80x = 64,823,566.92
  5. Step 5: Solve for x
    x = 64,823,566.92/8,421.80
  6. Step 6: Final answer
    x = 7,697.12

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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.