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Finding the Fourth Proportional to 27,637.65, 41,463.63 and 7,917.66

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Solution

The fourth proportional to 27,637.65, 41,463.63 and 7,917.66 is: 11,878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,637.65 : 41,463.63 = 7,917.66 : x
  2. Step 2: Convert to fraction form
    27,637.65/41,463.63 = 7,917.66/x
  3. Step 3: Cross multiply
    27,637.65x = 41,463.63 × 7,917.66
  4. Step 4: Simplify right side
    27,637.65x = 328,294,924.71
  5. Step 5: Solve for x
    x = 328,294,924.71/27,637.65
  6. Step 6: Final answer
    x = 11,878.54

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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.