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Finding the Fourth Proportional to 7,178.12, 9,910.62 and 6,419.52

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Solution

The fourth proportional to 7,178.12, 9,910.62 and 6,419.52 is: 8,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.12 : 9,910.62 = 6,419.52 : x
  2. Step 2: Convert to fraction form
    7,178.12/9,910.62 = 6,419.52/x
  3. Step 3: Cross multiply
    7,178.12x = 9,910.62 × 6,419.52
  4. Step 4: Simplify right side
    7,178.12x = 63,621,423.30
  5. Step 5: Solve for x
    x = 63,621,423.30/7,178.12
  6. Step 6: Final answer
    x = 8,863.24

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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.