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Finding the Fourth Proportional to 10,226.52, 15,340.65 and 2,830.98

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Solution

The fourth proportional to 10,226.52, 15,340.65 and 2,830.98 is: 4,246.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.52 : 15,340.65 = 2,830.98 : x
  2. Step 2: Convert to fraction form
    10,226.52/15,340.65 = 2,830.98/x
  3. Step 3: Cross multiply
    10,226.52x = 15,340.65 × 2,830.98
  4. Step 4: Simplify right side
    10,226.52x = 43,429,073.34
  5. Step 5: Solve for x
    x = 43,429,073.34/10,226.52
  6. Step 6: Final answer
    x = 4,246.71

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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.