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Finding the Fourth Proportional to 10,617.77, 15,926.85 and 2,826.50

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Solution

The fourth proportional to 10,617.77, 15,926.85 and 2,826.50 is: 4,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.77 : 15,926.85 = 2,826.50 : x
  2. Step 2: Convert to fraction form
    10,617.77/15,926.85 = 2,826.50/x
  3. Step 3: Cross multiply
    10,617.77x = 15,926.85 × 2,826.50
  4. Step 4: Simplify right side
    10,617.77x = 45,017,241.53
  5. Step 5: Solve for x
    x = 45,017,241.53/10,617.77
  6. Step 6: Final answer
    x = 4,239.80

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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.