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Finding the Fourth Proportional to 7,034.12, 10,539.49 and 4,949.76

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Solution

The fourth proportional to 7,034.12, 10,539.49 and 4,949.76 is: 7,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.12 : 10,539.49 = 4,949.76 : x
  2. Step 2: Convert to fraction form
    7,034.12/10,539.49 = 4,949.76/x
  3. Step 3: Cross multiply
    7,034.12x = 10,539.49 × 4,949.76
  4. Step 4: Simplify right side
    7,034.12x = 52,167,937.09
  5. Step 5: Solve for x
    x = 52,167,937.09/7,034.12
  6. Step 6: Final answer
    x = 7,416.42

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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.