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Finding the Fourth Proportional to 7,929.67, 10,932.58 and 6,822.51

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Solution

The fourth proportional to 7,929.67, 10,932.58 and 6,822.51 is: 9,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.67 : 10,932.58 = 6,822.51 : x
  2. Step 2: Convert to fraction form
    7,929.67/10,932.58 = 6,822.51/x
  3. Step 3: Cross multiply
    7,929.67x = 10,932.58 × 6,822.51
  4. Step 4: Simplify right side
    7,929.67x = 74,587,636.38
  5. Step 5: Solve for x
    x = 74,587,636.38/7,929.67
  6. Step 6: Final answer
    x = 9,406.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.