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Finding the Fourth Proportional to 8,142.78, 12,275.22 and 7,600.28

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Solution

The fourth proportional to 8,142.78, 12,275.22 and 7,600.28 is: 11,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.78 : 12,275.22 = 7,600.28 : x
  2. Step 2: Convert to fraction form
    8,142.78/12,275.22 = 7,600.28/x
  3. Step 3: Cross multiply
    8,142.78x = 12,275.22 × 7,600.28
  4. Step 4: Simplify right side
    8,142.78x = 93,295,109.06
  5. Step 5: Solve for x
    x = 93,295,109.06/8,142.78
  6. Step 6: Final answer
    x = 11,457.40

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.