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Finding the Fourth Proportional to 10,656.88, 15,986.24 and 2,865.76

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Solution

The fourth proportional to 10,656.88, 15,986.24 and 2,865.76 is: 4,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.88 : 15,986.24 = 2,865.76 : x
  2. Step 2: Convert to fraction form
    10,656.88/15,986.24 = 2,865.76/x
  3. Step 3: Cross multiply
    10,656.88x = 15,986.24 × 2,865.76
  4. Step 4: Simplify right side
    10,656.88x = 45,812,727.14
  5. Step 5: Solve for x
    x = 45,812,727.14/10,656.88
  6. Step 6: Final answer
    x = 4,298.89

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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.