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Finding the Fourth Proportional to 11,243.95, 15,514.54 and 6,465.56

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Solution

The fourth proportional to 11,243.95, 15,514.54 and 6,465.56 is: 8,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,243.95 : 15,514.54 = 6,465.56 : x
  2. Step 2: Convert to fraction form
    11,243.95/15,514.54 = 6,465.56/x
  3. Step 3: Cross multiply
    11,243.95x = 15,514.54 × 6,465.56
  4. Step 4: Simplify right side
    11,243.95x = 100,310,095.51
  5. Step 5: Solve for x
    x = 100,310,095.51/11,243.95
  6. Step 6: Final answer
    x = 8,921.25

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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.