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Finding the Fourth Proportional to 7,146.74, 10,719.78 and 1,952.60

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Solution

The fourth proportional to 7,146.74, 10,719.78 and 1,952.60 is: 2,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.74 : 10,719.78 = 1,952.60 : x
  2. Step 2: Convert to fraction form
    7,146.74/10,719.78 = 1,952.60/x
  3. Step 3: Cross multiply
    7,146.74x = 10,719.78 × 1,952.60
  4. Step 4: Simplify right side
    7,146.74x = 20,931,442.43
  5. Step 5: Solve for x
    x = 20,931,442.43/7,146.74
  6. Step 6: Final answer
    x = 2,928.81

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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.