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Finding the Fourth Proportional to 10,464.74, 14,441.32 and 5,749.02

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Solution

The fourth proportional to 10,464.74, 14,441.32 and 5,749.02 is: 7,933.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.74 : 14,441.32 = 5,749.02 : x
  2. Step 2: Convert to fraction form
    10,464.74/14,441.32 = 5,749.02/x
  3. Step 3: Cross multiply
    10,464.74x = 14,441.32 × 5,749.02
  4. Step 4: Simplify right side
    10,464.74x = 83,023,423.13
  5. Step 5: Solve for x
    x = 83,023,423.13/10,464.74
  6. Step 6: Final answer
    x = 7,933.64

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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.