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Finding the Fourth Proportional to 7,758.78, 10,705.53 and 7,492.08

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Solution

The fourth proportional to 7,758.78, 10,705.53 and 7,492.08 is: 10,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.78 : 10,705.53 = 7,492.08 : x
  2. Step 2: Convert to fraction form
    7,758.78/10,705.53 = 7,492.08/x
  3. Step 3: Cross multiply
    7,758.78x = 10,705.53 × 7,492.08
  4. Step 4: Simplify right side
    7,758.78x = 80,206,687.20
  5. Step 5: Solve for x
    x = 80,206,687.20/7,758.78
  6. Step 6: Final answer
    x = 10,337.54

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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.