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Finding the Fourth Proportional to 8,095.68, 12,135.72 and 4,148.80

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Solution

The fourth proportional to 8,095.68, 12,135.72 and 4,148.80 is: 6,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.68 : 12,135.72 = 4,148.80 : x
  2. Step 2: Convert to fraction form
    8,095.68/12,135.72 = 4,148.80/x
  3. Step 3: Cross multiply
    8,095.68x = 12,135.72 × 4,148.80
  4. Step 4: Simplify right side
    8,095.68x = 50,348,675.14
  5. Step 5: Solve for x
    x = 50,348,675.14/8,095.68
  6. Step 6: Final answer
    x = 6,219.20

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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.