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Finding the Fourth Proportional to 7,468.82, 10,307.11 and 4,282.64

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Solution

The fourth proportional to 7,468.82, 10,307.11 and 4,282.64 is: 5,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.82 : 10,307.11 = 4,282.64 : x
  2. Step 2: Convert to fraction form
    7,468.82/10,307.11 = 4,282.64/x
  3. Step 3: Cross multiply
    7,468.82x = 10,307.11 × 4,282.64
  4. Step 4: Simplify right side
    7,468.82x = 44,141,568.62
  5. Step 5: Solve for x
    x = 44,141,568.62/7,468.82
  6. Step 6: Final answer
    x = 5,910.11

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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.