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Finding the Fourth Proportional to 8,258.26, 11,396.19 and 4,574.61

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Solution

The fourth proportional to 8,258.26, 11,396.19 and 4,574.61 is: 6,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.26 : 11,396.19 = 4,574.61 : x
  2. Step 2: Convert to fraction form
    8,258.26/11,396.19 = 4,574.61/x
  3. Step 3: Cross multiply
    8,258.26x = 11,396.19 × 4,574.61
  4. Step 4: Simplify right side
    8,258.26x = 52,133,124.74
  5. Step 5: Solve for x
    x = 52,133,124.74/8,258.26
  6. Step 6: Final answer
    x = 6,312.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.