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Finding the Fourth Proportional to 8,123.16, 12,182.22 and 2,928.36

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Solution

The fourth proportional to 8,123.16, 12,182.22 and 2,928.36 is: 4,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.16 : 12,182.22 = 2,928.36 : x
  2. Step 2: Convert to fraction form
    8,123.16/12,182.22 = 2,928.36/x
  3. Step 3: Cross multiply
    8,123.16x = 12,182.22 × 2,928.36
  4. Step 4: Simplify right side
    8,123.16x = 35,673,925.76
  5. Step 5: Solve for x
    x = 35,673,925.76/8,123.16
  6. Step 6: Final answer
    x = 4,391.63

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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.