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Finding the Fourth Proportional to 10,464.77, 14,441.14 and 5,748.95

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Solution

The fourth proportional to 10,464.77, 14,441.14 and 5,748.95 is: 7,933.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.77 : 14,441.14 = 5,748.95 : x
  2. Step 2: Convert to fraction form
    10,464.77/14,441.14 = 5,748.95/x
  3. Step 3: Cross multiply
    10,464.77x = 14,441.14 × 5,748.95
  4. Step 4: Simplify right side
    10,464.77x = 83,021,391.80
  5. Step 5: Solve for x
    x = 83,021,391.80/10,464.77
  6. Step 6: Final answer
    x = 7,933.42

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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.