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Finding the Fourth Proportional to 10,552.68, 14,562.36 and 5,836.86

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Solution

The fourth proportional to 10,552.68, 14,562.36 and 5,836.86 is: 8,054.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.68 : 14,562.36 = 5,836.86 : x
  2. Step 2: Convert to fraction form
    10,552.68/14,562.36 = 5,836.86/x
  3. Step 3: Cross multiply
    10,552.68x = 14,562.36 × 5,836.86
  4. Step 4: Simplify right side
    10,552.68x = 84,998,456.59
  5. Step 5: Solve for x
    x = 84,998,456.59/10,552.68
  6. Step 6: Final answer
    x = 8,054.68

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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.