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Finding the Fourth Proportional to 10,464.60, 14,440.14 and 5,749.08

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Solution

The fourth proportional to 10,464.60, 14,440.14 and 5,749.08 is: 7,933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.60 : 14,440.14 = 5,749.08 : x
  2. Step 2: Convert to fraction form
    10,464.60/14,440.14 = 5,749.08/x
  3. Step 3: Cross multiply
    10,464.60x = 14,440.14 × 5,749.08
  4. Step 4: Simplify right side
    10,464.60x = 83,017,520.07
  5. Step 5: Solve for x
    x = 83,017,520.07/10,464.60
  6. Step 6: Final answer
    x = 7,933.18

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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.