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Finding the Fourth Proportional to 7,663.36, 11,448.45 and 4,867.64

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Solution

The fourth proportional to 7,663.36, 11,448.45 and 4,867.64 is: 7,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.36 : 11,448.45 = 4,867.64 : x
  2. Step 2: Convert to fraction form
    7,663.36/11,448.45 = 4,867.64/x
  3. Step 3: Cross multiply
    7,663.36x = 11,448.45 × 4,867.64
  4. Step 4: Simplify right side
    7,663.36x = 55,726,908.82
  5. Step 5: Solve for x
    x = 55,726,908.82/7,663.36
  6. Step 6: Final answer
    x = 7,271.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.