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Finding the Fourth Proportional to 10,440.77, 14,408.85 and 6,194.35

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Solution

The fourth proportional to 10,440.77, 14,408.85 and 6,194.35 is: 8,548.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.77 : 14,408.85 = 6,194.35 : x
  2. Step 2: Convert to fraction form
    10,440.77/14,408.85 = 6,194.35/x
  3. Step 3: Cross multiply
    10,440.77x = 14,408.85 × 6,194.35
  4. Step 4: Simplify right side
    10,440.77x = 89,253,460.00
  5. Step 5: Solve for x
    x = 89,253,460.00/10,440.77
  6. Step 6: Final answer
    x = 8,548.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.