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Finding the Fourth Proportional to 11,544.82, 15,931.74 and 6,440.38

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Solution

The fourth proportional to 11,544.82, 15,931.74 and 6,440.38 is: 8,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.82 : 15,931.74 = 6,440.38 : x
  2. Step 2: Convert to fraction form
    11,544.82/15,931.74 = 6,440.38/x
  3. Step 3: Cross multiply
    11,544.82x = 15,931.74 × 6,440.38
  4. Step 4: Simplify right side
    11,544.82x = 102,606,459.66
  5. Step 5: Solve for x
    x = 102,606,459.66/11,544.82
  6. Step 6: Final answer
    x = 8,887.66

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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.