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Finding the Fourth Proportional to 8,440.84, 11,649.35 and 5,085.35

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Solution

The fourth proportional to 8,440.84, 11,649.35 and 5,085.35 is: 7,018.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.84 : 11,649.35 = 5,085.35 : x
  2. Step 2: Convert to fraction form
    8,440.84/11,649.35 = 5,085.35/x
  3. Step 3: Cross multiply
    8,440.84x = 11,649.35 × 5,085.35
  4. Step 4: Simplify right side
    8,440.84x = 59,241,022.02
  5. Step 5: Solve for x
    x = 59,241,022.02/8,440.84
  6. Step 6: Final answer
    x = 7,018.38

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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.