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Finding the Fourth Proportional to 8,382.98, 12,478.71 and 8,258.42

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Solution

The fourth proportional to 8,382.98, 12,478.71 and 8,258.42 is: 12,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.98 : 12,478.71 = 8,258.42 : x
  2. Step 2: Convert to fraction form
    8,382.98/12,478.71 = 8,258.42/x
  3. Step 3: Cross multiply
    8,382.98x = 12,478.71 × 8,258.42
  4. Step 4: Simplify right side
    8,382.98x = 103,054,386.95
  5. Step 5: Solve for x
    x = 103,054,386.95/8,382.98
  6. Step 6: Final answer
    x = 12,293.29

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.