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Finding the Fourth Proportional to 10,208.71, 15,313.77 and 2,812.40

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Solution

The fourth proportional to 10,208.71, 15,313.77 and 2,812.40 is: 4,218.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.71 : 15,313.77 = 2,812.40 : x
  2. Step 2: Convert to fraction form
    10,208.71/15,313.77 = 2,812.40/x
  3. Step 3: Cross multiply
    10,208.71x = 15,313.77 × 2,812.40
  4. Step 4: Simplify right side
    10,208.71x = 43,068,370.18
  5. Step 5: Solve for x
    x = 43,068,370.18/10,208.71
  6. Step 6: Final answer
    x = 4,218.79

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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.