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Finding the Fourth Proportional to 10,283.92, 15,422.16 and 3,708.34

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Solution

The fourth proportional to 10,283.92, 15,422.16 and 3,708.34 is: 5,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.92 : 15,422.16 = 3,708.34 : x
  2. Step 2: Convert to fraction form
    10,283.92/15,422.16 = 3,708.34/x
  3. Step 3: Cross multiply
    10,283.92x = 15,422.16 × 3,708.34
  4. Step 4: Simplify right side
    10,283.92x = 57,190,612.81
  5. Step 5: Solve for x
    x = 57,190,612.81/10,283.92
  6. Step 6: Final answer
    x = 5,561.17

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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.