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Finding the Fourth Proportional to 8,911.28, 12,292.80 and 5,762

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Solution

The fourth proportional to 8,911.28, 12,292.80 and 5,762 is: 7,948.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.28 : 12,292.80 = 5,762 : x
  2. Step 2: Convert to fraction form
    8,911.28/12,292.80 = 5,762/x
  3. Step 3: Cross multiply
    8,911.28x = 12,292.80 × 5,762
  4. Step 4: Simplify right side
    8,911.28x = 70,831,113.60
  5. Step 5: Solve for x
    x = 70,831,113.60/8,911.28
  6. Step 6: Final answer
    x = 7,948.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.