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Finding the Fourth Proportional to 7,341.82, 10,131.54 and 4,197.82

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Solution

The fourth proportional to 7,341.82, 10,131.54 and 4,197.82 is: 5,792.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,341.82 : 10,131.54 = 4,197.82 : x
  2. Step 2: Convert to fraction form
    7,341.82/10,131.54 = 4,197.82/x
  3. Step 3: Cross multiply
    7,341.82x = 10,131.54 × 4,197.82
  4. Step 4: Simplify right side
    7,341.82x = 42,530,381.24
  5. Step 5: Solve for x
    x = 42,530,381.24/7,341.82
  6. Step 6: Final answer
    x = 5,792.89

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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.