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Finding the Fourth Proportional to 7,774.39, 10,734.98 and 6,338.99

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Solution

The fourth proportional to 7,774.39, 10,734.98 and 6,338.99 is: 8,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.39 : 10,734.98 = 6,338.99 : x
  2. Step 2: Convert to fraction form
    7,774.39/10,734.98 = 6,338.99/x
  3. Step 3: Cross multiply
    7,774.39x = 10,734.98 × 6,338.99
  4. Step 4: Simplify right side
    7,774.39x = 68,048,877.20
  5. Step 5: Solve for x
    x = 68,048,877.20/7,774.39
  6. Step 6: Final answer
    x = 8,752.96

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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.