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Finding the Fourth Proportional to 10,634.78, 15,959.31 and 4,394.78

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Solution

The fourth proportional to 10,634.78, 15,959.31 and 4,394.78 is: 6,595.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.78 : 15,959.31 = 4,394.78 : x
  2. Step 2: Convert to fraction form
    10,634.78/15,959.31 = 4,394.78/x
  3. Step 3: Cross multiply
    10,634.78x = 15,959.31 × 4,394.78
  4. Step 4: Simplify right side
    10,634.78x = 70,137,678.11
  5. Step 5: Solve for x
    x = 70,137,678.11/10,634.78
  6. Step 6: Final answer
    x = 6,595.12

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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.