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Finding the Fourth Proportional to 7,758.42, 11,638.68 and 2,492.18

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Solution

The fourth proportional to 7,758.42, 11,638.68 and 2,492.18 is: 3,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.42 : 11,638.68 = 2,492.18 : x
  2. Step 2: Convert to fraction form
    7,758.42/11,638.68 = 2,492.18/x
  3. Step 3: Cross multiply
    7,758.42x = 11,638.68 × 2,492.18
  4. Step 4: Simplify right side
    7,758.42x = 29,005,627.33
  5. Step 5: Solve for x
    x = 29,005,627.33/7,758.42
  6. Step 6: Final answer
    x = 3,738.60

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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.