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Finding the Fourth Proportional to 7,301.40, 10,952.10 and 3,140.70

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Solution

The fourth proportional to 7,301.40, 10,952.10 and 3,140.70 is: 4,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.40 : 10,952.10 = 3,140.70 : x
  2. Step 2: Convert to fraction form
    7,301.40/10,952.10 = 3,140.70/x
  3. Step 3: Cross multiply
    7,301.40x = 10,952.10 × 3,140.70
  4. Step 4: Simplify right side
    7,301.40x = 34,397,260.47
  5. Step 5: Solve for x
    x = 34,397,260.47/7,301.40
  6. Step 6: Final answer
    x = 4,711.05

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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.