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Finding the Fourth Proportional to 7,149.65, 10,723.16 and 2,988.54

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Solution

The fourth proportional to 7,149.65, 10,723.16 and 2,988.54 is: 4,482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.65 : 10,723.16 = 2,988.54 : x
  2. Step 2: Convert to fraction form
    7,149.65/10,723.16 = 2,988.54/x
  3. Step 3: Cross multiply
    7,149.65x = 10,723.16 × 2,988.54
  4. Step 4: Simplify right side
    7,149.65x = 32,046,600.06
  5. Step 5: Solve for x
    x = 32,046,600.06/7,149.65
  6. Step 6: Final answer
    x = 4,482.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.