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Finding the Fourth Proportional to 10,574.81, 14,593.25 and 5,859.17

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Solution

The fourth proportional to 10,574.81, 14,593.25 and 5,859.17 is: 8,085.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.81 : 14,593.25 = 5,859.17 : x
  2. Step 2: Convert to fraction form
    10,574.81/14,593.25 = 5,859.17/x
  3. Step 3: Cross multiply
    10,574.81x = 14,593.25 × 5,859.17
  4. Step 4: Simplify right side
    10,574.81x = 85,504,303.31
  5. Step 5: Solve for x
    x = 85,504,303.31/10,574.81
  6. Step 6: Final answer
    x = 8,085.66

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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.