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Finding the Fourth Proportional to 7,927.47, 11,894.36 and 2,998.49

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Solution

The fourth proportional to 7,927.47, 11,894.36 and 2,998.49 is: 4,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.47 : 11,894.36 = 2,998.49 : x
  2. Step 2: Convert to fraction form
    7,927.47/11,894.36 = 2,998.49/x
  3. Step 3: Cross multiply
    7,927.47x = 11,894.36 × 2,998.49
  4. Step 4: Simplify right side
    7,927.47x = 35,665,045.05
  5. Step 5: Solve for x
    x = 35,665,045.05/7,927.47
  6. Step 6: Final answer
    x = 4,498.92

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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.