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Finding the Fourth Proportional to 10,191.96, 14,060.64 and 6,408.42

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Solution

The fourth proportional to 10,191.96, 14,060.64 and 6,408.42 is: 8,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.96 : 14,060.64 = 6,408.42 : x
  2. Step 2: Convert to fraction form
    10,191.96/14,060.64 = 6,408.42/x
  3. Step 3: Cross multiply
    10,191.96x = 14,060.64 × 6,408.42
  4. Step 4: Simplify right side
    10,191.96x = 90,106,486.59
  5. Step 5: Solve for x
    x = 90,106,486.59/10,191.96
  6. Step 6: Final answer
    x = 8,840.94

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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.