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Finding the Fourth Proportional to 7,637.67, 11,460.77 and 4,127.61

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Solution

The fourth proportional to 7,637.67, 11,460.77 and 4,127.61 is: 6,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.67 : 11,460.77 = 4,127.61 : x
  2. Step 2: Convert to fraction form
    7,637.67/11,460.77 = 4,127.61/x
  3. Step 3: Cross multiply
    7,637.67x = 11,460.77 × 4,127.61
  4. Step 4: Simplify right side
    7,637.67x = 47,305,568.22
  5. Step 5: Solve for x
    x = 47,305,568.22/7,637.67
  6. Step 6: Final answer
    x = 6,193.72

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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.