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Finding the Fourth Proportional to 11,467.07, 15,822.14 and 7,695

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Solution

The fourth proportional to 11,467.07, 15,822.14 and 7,695 is: 10,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.07 : 15,822.14 = 7,695 : x
  2. Step 2: Convert to fraction form
    11,467.07/15,822.14 = 7,695/x
  3. Step 3: Cross multiply
    11,467.07x = 15,822.14 × 7,695
  4. Step 4: Simplify right side
    11,467.07x = 121,751,328.83
  5. Step 5: Solve for x
    x = 121,751,328.83/11,467.07
  6. Step 6: Final answer
    x = 10,617.48

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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.