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Finding the Fourth Proportional to 7,184.71, 10,774.96 and 2,801.12

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Solution

The fourth proportional to 7,184.71, 10,774.96 and 2,801.12 is: 4,200.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.71 : 10,774.96 = 2,801.12 : x
  2. Step 2: Convert to fraction form
    7,184.71/10,774.96 = 2,801.12/x
  3. Step 3: Cross multiply
    7,184.71x = 10,774.96 × 2,801.12
  4. Step 4: Simplify right side
    7,184.71x = 30,181,955.96
  5. Step 5: Solve for x
    x = 30,181,955.96/7,184.71
  6. Step 6: Final answer
    x = 4,200.86

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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.