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Finding the Fourth Proportional to 8,158, 11,258.12 and 4,432.08

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Solution

The fourth proportional to 8,158, 11,258.12 and 4,432.08 is: 6,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,158 : 11,258.12 = 4,432.08 : x
  2. Step 2: Convert to fraction form
    8,158/11,258.12 = 4,432.08/x
  3. Step 3: Cross multiply
    8,158x = 11,258.12 × 4,432.08
  4. Step 4: Simplify right side
    8,158x = 49,896,888.49
  5. Step 5: Solve for x
    x = 49,896,888.49/8,158
  6. Step 6: Final answer
    x = 6,116.31

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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.