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Finding the Fourth Proportional to 7,821.68, 11,732.53 and 1,978.29

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Solution

The fourth proportional to 7,821.68, 11,732.53 and 1,978.29 is: 2,967.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,821.68 : 11,732.53 = 1,978.29 : x
  2. Step 2: Convert to fraction form
    7,821.68/11,732.53 = 1,978.29/x
  3. Step 3: Cross multiply
    7,821.68x = 11,732.53 × 1,978.29
  4. Step 4: Simplify right side
    7,821.68x = 23,210,345.54
  5. Step 5: Solve for x
    x = 23,210,345.54/7,821.68
  6. Step 6: Final answer
    x = 2,967.44

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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.