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Finding the Fourth Proportional to 26,585.28, 39,877.98 and 7,865.64

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Solution

The fourth proportional to 26,585.28, 39,877.98 and 7,865.64 is: 11,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.28 : 39,877.98 = 7,865.64 : x
  2. Step 2: Convert to fraction form
    26,585.28/39,877.98 = 7,865.64/x
  3. Step 3: Cross multiply
    26,585.28x = 39,877.98 × 7,865.64
  4. Step 4: Simplify right side
    26,585.28x = 313,665,834.61
  5. Step 5: Solve for x
    x = 313,665,834.61/26,585.28
  6. Step 6: Final answer
    x = 11,798.48

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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.