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Finding the Fourth Proportional to 13,471.06, 18,590.58 and 7,806

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Solution

The fourth proportional to 13,471.06, 18,590.58 and 7,806 is: 10,772.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.06 : 18,590.58 = 7,806 : x
  2. Step 2: Convert to fraction form
    13,471.06/18,590.58 = 7,806/x
  3. Step 3: Cross multiply
    13,471.06x = 18,590.58 × 7,806
  4. Step 4: Simplify right side
    13,471.06x = 145,118,067.48
  5. Step 5: Solve for x
    x = 145,118,067.48/13,471.06
  6. Step 6: Final answer
    x = 10,772.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.