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Finding the Fourth Proportional to 8,275.85, 12,409.28 and 4,106.69

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Solution

The fourth proportional to 8,275.85, 12,409.28 and 4,106.69 is: 6,157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.85 : 12,409.28 = 4,106.69 : x
  2. Step 2: Convert to fraction form
    8,275.85/12,409.28 = 4,106.69/x
  3. Step 3: Cross multiply
    8,275.85x = 12,409.28 × 4,106.69
  4. Step 4: Simplify right side
    8,275.85x = 50,961,045.55
  5. Step 5: Solve for x
    x = 50,961,045.55/8,275.85
  6. Step 6: Final answer
    x = 6,157.80

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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.