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Finding the Fourth Proportional to 6,907.92, 10,354.74 and 3,207.13

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Solution

The fourth proportional to 6,907.92, 10,354.74 and 3,207.13 is: 4,807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.92 : 10,354.74 = 3,207.13 : x
  2. Step 2: Convert to fraction form
    6,907.92/10,354.74 = 3,207.13/x
  3. Step 3: Cross multiply
    6,907.92x = 10,354.74 × 3,207.13
  4. Step 4: Simplify right side
    6,907.92x = 33,208,959.38
  5. Step 5: Solve for x
    x = 33,208,959.38/6,907.92
  6. Step 6: Final answer
    x = 4,807.38

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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.