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Finding the Fourth Proportional to 10,777.05, 16,154.49 and 5,836.25

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Solution

The fourth proportional to 10,777.05, 16,154.49 and 5,836.25 is: 8,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.05 : 16,154.49 = 5,836.25 : x
  2. Step 2: Convert to fraction form
    10,777.05/16,154.49 = 5,836.25/x
  3. Step 3: Cross multiply
    10,777.05x = 16,154.49 × 5,836.25
  4. Step 4: Simplify right side
    10,777.05x = 94,281,671.71
  5. Step 5: Solve for x
    x = 94,281,671.71/10,777.05
  6. Step 6: Final answer
    x = 8,748.37

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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.