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Finding the Fourth Proportional to 6,907.44, 10,349.64 and 3,615.92

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Solution

The fourth proportional to 6,907.44, 10,349.64 and 3,615.92 is: 5,417.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.44 : 10,349.64 = 3,615.92 : x
  2. Step 2: Convert to fraction form
    6,907.44/10,349.64 = 3,615.92/x
  3. Step 3: Cross multiply
    6,907.44x = 10,349.64 × 3,615.92
  4. Step 4: Simplify right side
    6,907.44x = 37,423,470.27
  5. Step 5: Solve for x
    x = 37,423,470.27/6,907.44
  6. Step 6: Final answer
    x = 5,417.85

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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.