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Finding the Fourth Proportional to 10,464.58, 14,441.13 and 5,749.17

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Solution

The fourth proportional to 10,464.58, 14,441.13 and 5,749.17 is: 7,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.58 : 14,441.13 = 5,749.17 : x
  2. Step 2: Convert to fraction form
    10,464.58/14,441.13 = 5,749.17/x
  3. Step 3: Cross multiply
    10,464.58x = 14,441.13 × 5,749.17
  4. Step 4: Simplify right side
    10,464.58x = 83,024,511.36
  5. Step 5: Solve for x
    x = 83,024,511.36/10,464.58
  6. Step 6: Final answer
    x = 7,933.86

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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.