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Finding the Fourth Proportional to 6,951.18, 10,429.72 and 4,612

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Solution

The fourth proportional to 6,951.18, 10,429.72 and 4,612 is: 6,919.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.18 : 10,429.72 = 4,612 : x
  2. Step 2: Convert to fraction form
    6,951.18/10,429.72 = 4,612/x
  3. Step 3: Cross multiply
    6,951.18x = 10,429.72 × 4,612
  4. Step 4: Simplify right side
    6,951.18x = 48,101,868.64
  5. Step 5: Solve for x
    x = 48,101,868.64/6,951.18
  6. Step 6: Final answer
    x = 6,919.96

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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.