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Finding the Fourth Proportional to 7,642.08, 10,546.03 and 4,284.89

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Solution

The fourth proportional to 7,642.08, 10,546.03 and 4,284.89 is: 5,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.08 : 10,546.03 = 4,284.89 : x
  2. Step 2: Convert to fraction form
    7,642.08/10,546.03 = 4,284.89/x
  3. Step 3: Cross multiply
    7,642.08x = 10,546.03 × 4,284.89
  4. Step 4: Simplify right side
    7,642.08x = 45,188,578.49
  5. Step 5: Solve for x
    x = 45,188,578.49/7,642.08
  6. Step 6: Final answer
    x = 5,913.13

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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.