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Finding the Fourth Proportional to 27,405.83, 41,105.70 and 7,685.16

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Solution

The fourth proportional to 27,405.83, 41,105.70 and 7,685.16 is: 11,526.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,405.83 : 41,105.70 = 7,685.16 : x
  2. Step 2: Convert to fraction form
    27,405.83/41,105.70 = 7,685.16/x
  3. Step 3: Cross multiply
    27,405.83x = 41,105.70 × 7,685.16
  4. Step 4: Simplify right side
    27,405.83x = 315,903,881.41
  5. Step 5: Solve for x
    x = 315,903,881.41/27,405.83
  6. Step 6: Final answer
    x = 11,526.89

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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.