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Finding the Fourth Proportional to 10,574.73, 14,593.59 and 5,859

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Solution

The fourth proportional to 10,574.73, 14,593.59 and 5,859 is: 8,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.73 : 14,593.59 = 5,859 : x
  2. Step 2: Convert to fraction form
    10,574.73/14,593.59 = 5,859/x
  3. Step 3: Cross multiply
    10,574.73x = 14,593.59 × 5,859
  4. Step 4: Simplify right side
    10,574.73x = 85,503,843.81
  5. Step 5: Solve for x
    x = 85,503,843.81/10,574.73
  6. Step 6: Final answer
    x = 8,085.68

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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.