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Finding the Fourth Proportional to 27,477.29, 41,223.66 and 7,756.02

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Solution

The fourth proportional to 27,477.29, 41,223.66 and 7,756.02 is: 11,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.29 : 41,223.66 = 7,756.02 : x
  2. Step 2: Convert to fraction form
    27,477.29/41,223.66 = 7,756.02/x
  3. Step 3: Cross multiply
    27,477.29x = 41,223.66 × 7,756.02
  4. Step 4: Simplify right side
    27,477.29x = 319,731,531.43
  5. Step 5: Solve for x
    x = 319,731,531.43/27,477.29
  6. Step 6: Final answer
    x = 11,636.21

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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.