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Finding the Fourth Proportional to 12,070.72, 16,657.85 and 6,767.25

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Solution

The fourth proportional to 12,070.72, 16,657.85 and 6,767.25 is: 9,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,070.72 : 16,657.85 = 6,767.25 : x
  2. Step 2: Convert to fraction form
    12,070.72/16,657.85 = 6,767.25/x
  3. Step 3: Cross multiply
    12,070.72x = 16,657.85 × 6,767.25
  4. Step 4: Simplify right side
    12,070.72x = 112,727,835.41
  5. Step 5: Solve for x
    x = 112,727,835.41/12,070.72
  6. Step 6: Final answer
    x = 9,338.95

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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.