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Finding the Fourth Proportional to 7,467.69, 10,305.16 and 4,110.51

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Solution

The fourth proportional to 7,467.69, 10,305.16 and 4,110.51 is: 5,672.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.69 : 10,305.16 = 4,110.51 : x
  2. Step 2: Convert to fraction form
    7,467.69/10,305.16 = 4,110.51/x
  3. Step 3: Cross multiply
    7,467.69x = 10,305.16 × 4,110.51
  4. Step 4: Simplify right side
    7,467.69x = 42,359,463.23
  5. Step 5: Solve for x
    x = 42,359,463.23/7,467.69
  6. Step 6: Final answer
    x = 5,672.36

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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.