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Finding the Fourth Proportional to 7,148.49, 10,722.41 and 1,954.35

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Solution

The fourth proportional to 7,148.49, 10,722.41 and 1,954.35 is: 2,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.49 : 10,722.41 = 1,954.35 : x
  2. Step 2: Convert to fraction form
    7,148.49/10,722.41 = 1,954.35/x
  3. Step 3: Cross multiply
    7,148.49x = 10,722.41 × 1,954.35
  4. Step 4: Simplify right side
    7,148.49x = 20,955,332.21
  5. Step 5: Solve for x
    x = 20,955,332.21/7,148.49
  6. Step 6: Final answer
    x = 2,931.43

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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.