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Finding the Fourth Proportional to 10,583.70, 14,602.55 and 8,338.61

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Solution

The fourth proportional to 10,583.70, 14,602.55 and 8,338.61 is: 11,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.70 : 14,602.55 = 8,338.61 : x
  2. Step 2: Convert to fraction form
    10,583.70/14,602.55 = 8,338.61/x
  3. Step 3: Cross multiply
    10,583.70x = 14,602.55 × 8,338.61
  4. Step 4: Simplify right side
    10,583.70x = 121,764,969.46
  5. Step 5: Solve for x
    x = 121,764,969.46/10,583.70
  6. Step 6: Final answer
    x = 11,504.95

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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.