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Finding the Fourth Proportional to 11,355.18, 15,665.58 and 7,161

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Solution

The fourth proportional to 11,355.18, 15,665.58 and 7,161 is: 9,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.18 : 15,665.58 = 7,161 : x
  2. Step 2: Convert to fraction form
    11,355.18/15,665.58 = 7,161/x
  3. Step 3: Cross multiply
    11,355.18x = 15,665.58 × 7,161
  4. Step 4: Simplify right side
    11,355.18x = 112,181,218.38
  5. Step 5: Solve for x
    x = 112,181,218.38/11,355.18
  6. Step 6: Final answer
    x = 9,879.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.