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Finding the Fourth Proportional to 7,145.60, 10,710.68 and 2,982.48

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Solution

The fourth proportional to 7,145.60, 10,710.68 and 2,982.48 is: 4,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,145.60 : 10,710.68 = 2,982.48 : x
  2. Step 2: Convert to fraction form
    7,145.60/10,710.68 = 2,982.48/x
  3. Step 3: Cross multiply
    7,145.60x = 10,710.68 × 2,982.48
  4. Step 4: Simplify right side
    7,145.60x = 31,944,388.89
  5. Step 5: Solve for x
    x = 31,944,388.89/7,145.60
  6. Step 6: Final answer
    x = 4,470.50

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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.