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Finding the Fourth Proportional to 10,830.78, 16,246.17 and 3,905.10

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Solution

The fourth proportional to 10,830.78, 16,246.17 and 3,905.10 is: 5,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.78 : 16,246.17 = 3,905.10 : x
  2. Step 2: Convert to fraction form
    10,830.78/16,246.17 = 3,905.10/x
  3. Step 3: Cross multiply
    10,830.78x = 16,246.17 × 3,905.10
  4. Step 4: Simplify right side
    10,830.78x = 63,442,918.47
  5. Step 5: Solve for x
    x = 63,442,918.47/10,830.78
  6. Step 6: Final answer
    x = 5,857.65

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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.