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Finding the Fourth Proportional to 11,429.92, 15,768.66 and 7,449.64

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Solution

The fourth proportional to 11,429.92, 15,768.66 and 7,449.64 is: 10,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.92 : 15,768.66 = 7,449.64 : x
  2. Step 2: Convert to fraction form
    11,429.92/15,768.66 = 7,449.64/x
  3. Step 3: Cross multiply
    11,429.92x = 15,768.66 × 7,449.64
  4. Step 4: Simplify right side
    11,429.92x = 117,470,840.28
  5. Step 5: Solve for x
    x = 117,470,840.28/11,429.92
  6. Step 6: Final answer
    x = 10,277.49

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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.