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Finding the Fourth Proportional to 10,656.44, 15,984.66 and 2,865.26

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Solution

The fourth proportional to 10,656.44, 15,984.66 and 2,865.26 is: 4,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.44 : 15,984.66 = 2,865.26 : x
  2. Step 2: Convert to fraction form
    10,656.44/15,984.66 = 2,865.26/x
  3. Step 3: Cross multiply
    10,656.44x = 15,984.66 × 2,865.26
  4. Step 4: Simplify right side
    10,656.44x = 45,800,206.91
  5. Step 5: Solve for x
    x = 45,800,206.91/10,656.44
  6. Step 6: Final answer
    x = 4,297.89

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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.