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Finding the Fourth Proportional to 8,045.28, 12,069 and 2,851.20

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Solution

The fourth proportional to 8,045.28, 12,069 and 2,851.20 is: 4,277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,045.28 : 12,069 = 2,851.20 : x
  2. Step 2: Convert to fraction form
    8,045.28/12,069 = 2,851.20/x
  3. Step 3: Cross multiply
    8,045.28x = 12,069 × 2,851.20
  4. Step 4: Simplify right side
    8,045.28x = 34,411,132.80
  5. Step 5: Solve for x
    x = 34,411,132.80/8,045.28
  6. Step 6: Final answer
    x = 4,277.18

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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.