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Finding the Fourth Proportional to 6,934.88, 10,404 and 2,318.24

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Solution

The fourth proportional to 6,934.88, 10,404 and 2,318.24 is: 3,477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.88 : 10,404 = 2,318.24 : x
  2. Step 2: Convert to fraction form
    6,934.88/10,404 = 2,318.24/x
  3. Step 3: Cross multiply
    6,934.88x = 10,404 × 2,318.24
  4. Step 4: Simplify right side
    6,934.88x = 24,118,968.96
  5. Step 5: Solve for x
    x = 24,118,968.96/6,934.88
  6. Step 6: Final answer
    x = 3,477.92

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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.