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Finding the Fourth Proportional to 7,313.87, 10,971.18 and 2,048.87

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Solution

The fourth proportional to 7,313.87, 10,971.18 and 2,048.87 is: 3,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313.87 : 10,971.18 = 2,048.87 : x
  2. Step 2: Convert to fraction form
    7,313.87/10,971.18 = 2,048.87/x
  3. Step 3: Cross multiply
    7,313.87x = 10,971.18 × 2,048.87
  4. Step 4: Simplify right side
    7,313.87x = 22,478,521.57
  5. Step 5: Solve for x
    x = 22,478,521.57/7,313.87
  6. Step 6: Final answer
    x = 3,073.41

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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.