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Finding the Fourth Proportional to 10,552.50, 14,563.08 and 5,836.68

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Solution

The fourth proportional to 10,552.50, 14,563.08 and 5,836.68 is: 8,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.50 : 14,563.08 = 5,836.68 : x
  2. Step 2: Convert to fraction form
    10,552.50/14,563.08 = 5,836.68/x
  3. Step 3: Cross multiply
    10,552.50x = 14,563.08 × 5,836.68
  4. Step 4: Simplify right side
    10,552.50x = 85,000,037.77
  5. Step 5: Solve for x
    x = 85,000,037.77/10,552.50
  6. Step 6: Final answer
    x = 8,054.97

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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.