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Finding the Fourth Proportional to 7,001.67, 10,502.61 and 2,071.80

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Solution

The fourth proportional to 7,001.67, 10,502.61 and 2,071.80 is: 3,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.67 : 10,502.61 = 2,071.80 : x
  2. Step 2: Convert to fraction form
    7,001.67/10,502.61 = 2,071.80/x
  3. Step 3: Cross multiply
    7,001.67x = 10,502.61 × 2,071.80
  4. Step 4: Simplify right side
    7,001.67x = 21,759,340.82
  5. Step 5: Solve for x
    x = 21,759,340.82/7,001.67
  6. Step 6: Final answer
    x = 3,107.74

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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.