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Finding the Fourth Proportional to 10,258.97, 15,388.58 and 3,685.16

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Solution

The fourth proportional to 10,258.97, 15,388.58 and 3,685.16 is: 5,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.97 : 15,388.58 = 3,685.16 : x
  2. Step 2: Convert to fraction form
    10,258.97/15,388.58 = 3,685.16/x
  3. Step 3: Cross multiply
    10,258.97x = 15,388.58 × 3,685.16
  4. Step 4: Simplify right side
    10,258.97x = 56,709,379.47
  5. Step 5: Solve for x
    x = 56,709,379.47/10,258.97
  6. Step 6: Final answer
    x = 5,527.78

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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.