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Finding the Fourth Proportional to 10,571.47, 14,583.04 and 8,578.53

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Solution

The fourth proportional to 10,571.47, 14,583.04 and 8,578.53 is: 11,833.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.47 : 14,583.04 = 8,578.53 : x
  2. Step 2: Convert to fraction form
    10,571.47/14,583.04 = 8,578.53/x
  3. Step 3: Cross multiply
    10,571.47x = 14,583.04 × 8,578.53
  4. Step 4: Simplify right side
    10,571.47x = 125,101,024.68
  5. Step 5: Solve for x
    x = 125,101,024.68/10,571.47
  6. Step 6: Final answer
    x = 11,833.84

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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.