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Finding the Fourth Proportional to 7,174.04, 9,906.71 and 5,402.57

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Solution

The fourth proportional to 7,174.04, 9,906.71 and 5,402.57 is: 7,460.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.04 : 9,906.71 = 5,402.57 : x
  2. Step 2: Convert to fraction form
    7,174.04/9,906.71 = 5,402.57/x
  3. Step 3: Cross multiply
    7,174.04x = 9,906.71 × 5,402.57
  4. Step 4: Simplify right side
    7,174.04x = 53,521,617.70
  5. Step 5: Solve for x
    x = 53,521,617.70/7,174.04
  6. Step 6: Final answer
    x = 7,460.46

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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.