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Finding the Fourth Proportional to 10,552.14, 14,560.22 and 5,835.50

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Solution

The fourth proportional to 10,552.14, 14,560.22 and 5,835.50 is: 8,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.14 : 14,560.22 = 5,835.50 : x
  2. Step 2: Convert to fraction form
    10,552.14/14,560.22 = 5,835.50/x
  3. Step 3: Cross multiply
    10,552.14x = 14,560.22 × 5,835.50
  4. Step 4: Simplify right side
    10,552.14x = 84,966,163.81
  5. Step 5: Solve for x
    x = 84,966,163.81/10,552.14
  6. Step 6: Final answer
    x = 8,052.03

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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.