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Finding the Fourth Proportional to 7,932.78, 10,948.32 and 4,575.78

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Solution

The fourth proportional to 7,932.78, 10,948.32 and 4,575.78 is: 6,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.78 : 10,948.32 = 4,575.78 : x
  2. Step 2: Convert to fraction form
    7,932.78/10,948.32 = 4,575.78/x
  3. Step 3: Cross multiply
    7,932.78x = 10,948.32 × 4,575.78
  4. Step 4: Simplify right side
    7,932.78x = 50,097,103.69
  5. Step 5: Solve for x
    x = 50,097,103.69/7,932.78
  6. Step 6: Final answer
    x = 6,315.20

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