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Finding the Fourth Proportional to 7,092.75, 10,637.91 and 1,897.41

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Solution

The fourth proportional to 7,092.75, 10,637.91 and 1,897.41 is: 2,845.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.75 : 10,637.91 = 1,897.41 : x
  2. Step 2: Convert to fraction form
    7,092.75/10,637.91 = 1,897.41/x
  3. Step 3: Cross multiply
    7,092.75x = 10,637.91 × 1,897.41
  4. Step 4: Simplify right side
    7,092.75x = 20,184,476.81
  5. Step 5: Solve for x
    x = 20,184,476.81/7,092.75
  6. Step 6: Final answer
    x = 2,845.79

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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.