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Finding the Fourth Proportional to 27,580.69, 41,358.61 and 7,854.76

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Solution

The fourth proportional to 27,580.69, 41,358.61 and 7,854.76 is: 11,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,580.69 : 41,358.61 = 7,854.76 : x
  2. Step 2: Convert to fraction form
    27,580.69/41,358.61 = 7,854.76/x
  3. Step 3: Cross multiply
    27,580.69x = 41,358.61 × 7,854.76
  4. Step 4: Simplify right side
    27,580.69x = 324,861,955.48
  5. Step 5: Solve for x
    x = 324,861,955.48/27,580.69
  6. Step 6: Final answer
    x = 11,778.60

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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.