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Finding the Fourth Proportional to 10,258.39, 15,382.11 and 5,323.06

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Solution

The fourth proportional to 10,258.39, 15,382.11 and 5,323.06 is: 7,981.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.39 : 15,382.11 = 5,323.06 : x
  2. Step 2: Convert to fraction form
    10,258.39/15,382.11 = 5,323.06/x
  3. Step 3: Cross multiply
    10,258.39x = 15,382.11 × 5,323.06
  4. Step 4: Simplify right side
    10,258.39x = 81,879,817.55
  5. Step 5: Solve for x
    x = 81,879,817.55/10,258.39
  6. Step 6: Final answer
    x = 7,981.75

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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.