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Finding the Fourth Proportional to 27,534.15, 41,302.80 and 7,811.17

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Solution

The fourth proportional to 27,534.15, 41,302.80 and 7,811.17 is: 11,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,534.15 : 41,302.80 = 7,811.17 : x
  2. Step 2: Convert to fraction form
    27,534.15/41,302.80 = 7,811.17/x
  3. Step 3: Cross multiply
    27,534.15x = 41,302.80 × 7,811.17
  4. Step 4: Simplify right side
    27,534.15x = 322,623,089.02
  5. Step 5: Solve for x
    x = 322,623,089.02/27,534.15
  6. Step 6: Final answer
    x = 11,717.20

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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.