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Finding the Fourth Proportional to 10,465.00, 14,441.62 and 5,749.18

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Solution

The fourth proportional to 10,465.00, 14,441.62 and 5,749.18 is: 7,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.00 : 14,441.62 = 5,749.18 : x
  2. Step 2: Convert to fraction form
    10,465.00/14,441.62 = 5,749.18/x
  3. Step 3: Cross multiply
    10,465.00x = 14,441.62 × 5,749.18
  4. Step 4: Simplify right side
    10,465.00x = 83,027,371.92
  5. Step 5: Solve for x
    x = 83,027,371.92/10,465.00
  6. Step 6: Final answer
    x = 7,933.82

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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.