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Finding the Fourth Proportional to 6,961.59, 10,444.68 and 4,630.77

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Solution

The fourth proportional to 6,961.59, 10,444.68 and 4,630.77 is: 6,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961.59 : 10,444.68 = 4,630.77 : x
  2. Step 2: Convert to fraction form
    6,961.59/10,444.68 = 4,630.77/x
  3. Step 3: Cross multiply
    6,961.59x = 10,444.68 × 4,630.77
  4. Step 4: Simplify right side
    6,961.59x = 48,366,910.80
  5. Step 5: Solve for x
    x = 48,366,910.80/6,961.59
  6. Step 6: Final answer
    x = 6,947.68

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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.