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Finding the Fourth Proportional to 8,649.32, 11,931.91 and 5,663.84

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Solution

The fourth proportional to 8,649.32, 11,931.91 and 5,663.84 is: 7,813.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.32 : 11,931.91 = 5,663.84 : x
  2. Step 2: Convert to fraction form
    8,649.32/11,931.91 = 5,663.84/x
  3. Step 3: Cross multiply
    8,649.32x = 11,931.91 × 5,663.84
  4. Step 4: Simplify right side
    8,649.32x = 67,580,355.32
  5. Step 5: Solve for x
    x = 67,580,355.32/8,649.32
  6. Step 6: Final answer
    x = 7,813.38

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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.