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Finding the Fourth Proportional to 11,278.42, 15,564.14 and 6,496.62

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Solution

The fourth proportional to 11,278.42, 15,564.14 and 6,496.62 is: 8,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.42 : 15,564.14 = 6,496.62 : x
  2. Step 2: Convert to fraction form
    11,278.42/15,564.14 = 6,496.62/x
  3. Step 3: Cross multiply
    11,278.42x = 15,564.14 × 6,496.62
  4. Step 4: Simplify right side
    11,278.42x = 101,114,303.21
  5. Step 5: Solve for x
    x = 101,114,303.21/11,278.42
  6. Step 6: Final answer
    x = 8,965.29

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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.