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Finding the Fourth Proportional to 7,359.67, 10,160.10 and 5,677.30

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Solution

The fourth proportional to 7,359.67, 10,160.10 and 5,677.30 is: 7,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,359.67 : 10,160.10 = 5,677.30 : x
  2. Step 2: Convert to fraction form
    7,359.67/10,160.10 = 5,677.30/x
  3. Step 3: Cross multiply
    7,359.67x = 10,160.10 × 5,677.30
  4. Step 4: Simplify right side
    7,359.67x = 57,681,935.73
  5. Step 5: Solve for x
    x = 57,681,935.73/7,359.67
  6. Step 6: Final answer
    x = 7,837.57

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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.