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Finding the Fourth Proportional to 8,153.12, 12,230.04 and 4,258.64

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Solution

The fourth proportional to 8,153.12, 12,230.04 and 4,258.64 is: 6,388.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,153.12 : 12,230.04 = 4,258.64 : x
  2. Step 2: Convert to fraction form
    8,153.12/12,230.04 = 4,258.64/x
  3. Step 3: Cross multiply
    8,153.12x = 12,230.04 × 4,258.64
  4. Step 4: Simplify right side
    8,153.12x = 52,083,337.55
  5. Step 5: Solve for x
    x = 52,083,337.55/8,153.12
  6. Step 6: Final answer
    x = 6,388.15

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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.