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Finding the Fourth Proportional to 11,047.59, 16,576.25 and 5,852.25

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Solution

The fourth proportional to 11,047.59, 16,576.25 and 5,852.25 is: 8,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,047.59 : 16,576.25 = 5,852.25 : x
  2. Step 2: Convert to fraction form
    11,047.59/16,576.25 = 5,852.25/x
  3. Step 3: Cross multiply
    11,047.59x = 16,576.25 × 5,852.25
  4. Step 4: Simplify right side
    11,047.59x = 97,008,329.80
  5. Step 5: Solve for x
    x = 97,008,329.80/11,047.59
  6. Step 6: Final answer
    x = 8,780.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.