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Finding the Fourth Proportional to 10,552.95, 14,560.97 and 5,836.32

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Solution

The fourth proportional to 10,552.95, 14,560.97 and 5,836.32 is: 8,052.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.95 : 14,560.97 = 5,836.32 : x
  2. Step 2: Convert to fraction form
    10,552.95/14,560.97 = 5,836.32/x
  3. Step 3: Cross multiply
    10,552.95x = 14,560.97 × 5,836.32
  4. Step 4: Simplify right side
    10,552.95x = 84,982,451.25
  5. Step 5: Solve for x
    x = 84,982,451.25/10,552.95
  6. Step 6: Final answer
    x = 8,052.96

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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.