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Finding the Fourth Proportional to 8,176.36, 11,282.18 and 4,638.88

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Solution

The fourth proportional to 8,176.36, 11,282.18 and 4,638.88 is: 6,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.36 : 11,282.18 = 4,638.88 : x
  2. Step 2: Convert to fraction form
    8,176.36/11,282.18 = 4,638.88/x
  3. Step 3: Cross multiply
    8,176.36x = 11,282.18 × 4,638.88
  4. Step 4: Simplify right side
    8,176.36x = 52,336,679.16
  5. Step 5: Solve for x
    x = 52,336,679.16/8,176.36
  6. Step 6: Final answer
    x = 6,400.98

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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.