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Finding the Fourth Proportional to 27,529.40, 41,294.06 and 7,808.12

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Solution

The fourth proportional to 27,529.40, 41,294.06 and 7,808.12 is: 11,712.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,529.40 : 41,294.06 = 7,808.12 : x
  2. Step 2: Convert to fraction form
    27,529.40/41,294.06 = 7,808.12/x
  3. Step 3: Cross multiply
    27,529.40x = 41,294.06 × 7,808.12
  4. Step 4: Simplify right side
    27,529.40x = 322,428,975.77
  5. Step 5: Solve for x
    x = 322,428,975.77/27,529.40
  6. Step 6: Final answer
    x = 11,712.17

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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.