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Finding the Fourth Proportional to 7,145.74, 10,720.82 and 2,148.31

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Solution

The fourth proportional to 7,145.74, 10,720.82 and 2,148.31 is: 3,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.74 : 10,720.82 = 2,148.31 : x
  2. Step 2: Convert to fraction form
    7,145.74/10,720.82 = 2,148.31/x
  3. Step 3: Cross multiply
    7,145.74x = 10,720.82 × 2,148.31
  4. Step 4: Simplify right side
    7,145.74x = 23,031,644.81
  5. Step 5: Solve for x
    x = 23,031,644.81/7,145.74
  6. Step 6: Final answer
    x = 3,223.13

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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.