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Finding the Fourth Proportional to 11,299.08, 15,591.74 and 6,583.80

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Solution

The fourth proportional to 11,299.08, 15,591.74 and 6,583.80 is: 9,085.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.08 : 15,591.74 = 6,583.80 : x
  2. Step 2: Convert to fraction form
    11,299.08/15,591.74 = 6,583.80/x
  3. Step 3: Cross multiply
    11,299.08x = 15,591.74 × 6,583.80
  4. Step 4: Simplify right side
    11,299.08x = 102,652,897.81
  5. Step 5: Solve for x
    x = 102,652,897.81/11,299.08
  6. Step 6: Final answer
    x = 9,085.07

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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.