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Finding the Fourth Proportional to 6,877.08, 10,316.70 and 2,259

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Solution

The fourth proportional to 6,877.08, 10,316.70 and 2,259 is: 3,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.08 : 10,316.70 = 2,259 : x
  2. Step 2: Convert to fraction form
    6,877.08/10,316.70 = 2,259/x
  3. Step 3: Cross multiply
    6,877.08x = 10,316.70 × 2,259
  4. Step 4: Simplify right side
    6,877.08x = 23,305,425.30
  5. Step 5: Solve for x
    x = 23,305,425.30/6,877.08
  6. Step 6: Final answer
    x = 3,388.85

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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.