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Finding the Fourth Proportional to 7,374.33, 10,186.54 and 5,892.64

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Solution

The fourth proportional to 7,374.33, 10,186.54 and 5,892.64 is: 8,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,374.33 : 10,186.54 = 5,892.64 : x
  2. Step 2: Convert to fraction form
    7,374.33/10,186.54 = 5,892.64/x
  3. Step 3: Cross multiply
    7,374.33x = 10,186.54 × 5,892.64
  4. Step 4: Simplify right side
    7,374.33x = 60,025,572.87
  5. Step 5: Solve for x
    x = 60,025,572.87/7,374.33
  6. Step 6: Final answer
    x = 8,139.80

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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.