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Finding the Fourth Proportional to 8,913.28, 12,295.56 and 5,764

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Solution

The fourth proportional to 8,913.28, 12,295.56 and 5,764 is: 7,951.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.28 : 12,295.56 = 5,764 : x
  2. Step 2: Convert to fraction form
    8,913.28/12,295.56 = 5,764/x
  3. Step 3: Cross multiply
    8,913.28x = 12,295.56 × 5,764
  4. Step 4: Simplify right side
    8,913.28x = 70,871,607.84
  5. Step 5: Solve for x
    x = 70,871,607.84/8,913.28
  6. Step 6: Final answer
    x = 7,951.24

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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.