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Finding the Fourth Proportional to 7,338.84, 10,102.32 and 6,338.04

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Solution

The fourth proportional to 7,338.84, 10,102.32 and 6,338.04 is: 8,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,338.84 : 10,102.32 = 6,338.04 : x
  2. Step 2: Convert to fraction form
    7,338.84/10,102.32 = 6,338.04/x
  3. Step 3: Cross multiply
    7,338.84x = 10,102.32 × 6,338.04
  4. Step 4: Simplify right side
    7,338.84x = 64,028,908.25
  5. Step 5: Solve for x
    x = 64,028,908.25/7,338.84
  6. Step 6: Final answer
    x = 8,724.66

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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.