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Finding the Fourth Proportional to 27,445.83, 41,165.10 and 7,726.08

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Solution

The fourth proportional to 27,445.83, 41,165.10 and 7,726.08 is: 11,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,445.83 : 41,165.10 = 7,726.08 : x
  2. Step 2: Convert to fraction form
    27,445.83/41,165.10 = 7,726.08/x
  3. Step 3: Cross multiply
    27,445.83x = 41,165.10 × 7,726.08
  4. Step 4: Simplify right side
    27,445.83x = 318,044,855.81
  5. Step 5: Solve for x
    x = 318,044,855.81/27,445.83
  6. Step 6: Final answer
    x = 11,588.09

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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.