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Finding the Fourth Proportional to 4,667.14, 7,000.71 and 4,382.02

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Solution

The fourth proportional to 4,667.14, 7,000.71 and 4,382.02 is: 6,573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,667.14 : 7,000.71 = 4,382.02 : x
  2. Step 2: Convert to fraction form
    4,667.14/7,000.71 = 4,382.02/x
  3. Step 3: Cross multiply
    4,667.14x = 7,000.71 × 4,382.02
  4. Step 4: Simplify right side
    4,667.14x = 30,677,251.23
  5. Step 5: Solve for x
    x = 30,677,251.23/4,667.14
  6. Step 6: Final answer
    x = 6,573.03

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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.