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Finding the Fourth Proportional to 8,158.28, 12,242.04 and 3,477.80

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Solution

The fourth proportional to 8,158.28, 12,242.04 and 3,477.80 is: 5,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158.28 : 12,242.04 = 3,477.80 : x
  2. Step 2: Convert to fraction form
    8,158.28/12,242.04 = 3,477.80/x
  3. Step 3: Cross multiply
    8,158.28x = 12,242.04 × 3,477.80
  4. Step 4: Simplify right side
    8,158.28x = 42,575,366.71
  5. Step 5: Solve for x
    x = 42,575,366.71/8,158.28
  6. Step 6: Final answer
    x = 5,218.67

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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.