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Finding the Fourth Proportional to 10,830.68, 16,248.46 and 3,905.18

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Solution

The fourth proportional to 10,830.68, 16,248.46 and 3,905.18 is: 5,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.68 : 16,248.46 = 3,905.18 : x
  2. Step 2: Convert to fraction form
    10,830.68/16,248.46 = 3,905.18/x
  3. Step 3: Cross multiply
    10,830.68x = 16,248.46 × 3,905.18
  4. Step 4: Simplify right side
    10,830.68x = 63,453,161.02
  5. Step 5: Solve for x
    x = 63,453,161.02/10,830.68
  6. Step 6: Final answer
    x = 5,858.65

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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.