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Finding the Fourth Proportional to 7,182.64, 9,912.08 and 4,038.80

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Solution

The fourth proportional to 7,182.64, 9,912.08 and 4,038.80 is: 5,573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.64 : 9,912.08 = 4,038.80 : x
  2. Step 2: Convert to fraction form
    7,182.64/9,912.08 = 4,038.80/x
  3. Step 3: Cross multiply
    7,182.64x = 9,912.08 × 4,038.80
  4. Step 4: Simplify right side
    7,182.64x = 40,032,908.70
  5. Step 5: Solve for x
    x = 40,032,908.70/7,182.64
  6. Step 6: Final answer
    x = 5,573.56

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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.