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Finding the Fourth Proportional to 27,898.52, 41,847.85 and 6,838.66

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Solution

The fourth proportional to 27,898.52, 41,847.85 and 6,838.66 is: 10,258.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,898.52 : 41,847.85 = 6,838.66 : x
  2. Step 2: Convert to fraction form
    27,898.52/41,847.85 = 6,838.66/x
  3. Step 3: Cross multiply
    27,898.52x = 41,847.85 × 6,838.66
  4. Step 4: Simplify right side
    27,898.52x = 286,182,991.55
  5. Step 5: Solve for x
    x = 286,182,991.55/27,898.52
  6. Step 6: Final answer
    x = 10,258.00

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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.