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Finding the Fourth Proportional to 7,148.71, 10,718.72 and 3,199.23

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Solution

The fourth proportional to 7,148.71, 10,718.72 and 3,199.23 is: 4,796.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.71 : 10,718.72 = 3,199.23 : x
  2. Step 2: Convert to fraction form
    7,148.71/10,718.72 = 3,199.23/x
  3. Step 3: Cross multiply
    7,148.71x = 10,718.72 × 3,199.23
  4. Step 4: Simplify right side
    7,148.71x = 34,291,658.58
  5. Step 5: Solve for x
    x = 34,291,658.58/7,148.71
  6. Step 6: Final answer
    x = 4,796.90

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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.