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Finding the Fourth Proportional to 10,205.60, 15,308.42 and 2,811.20

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Solution

The fourth proportional to 10,205.60, 15,308.42 and 2,811.20 is: 4,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.60 : 15,308.42 = 2,811.20 : x
  2. Step 2: Convert to fraction form
    10,205.60/15,308.42 = 2,811.20/x
  3. Step 3: Cross multiply
    10,205.60x = 15,308.42 × 2,811.20
  4. Step 4: Simplify right side
    10,205.60x = 43,034,939.71
  5. Step 5: Solve for x
    x = 43,034,939.71/10,205.60
  6. Step 6: Final answer
    x = 4,216.80

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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.