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Finding the Fourth Proportional to 10,191.12, 14,064.12 and 5,944.92

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Solution

The fourth proportional to 10,191.12, 14,064.12 and 5,944.92 is: 8,204.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.12 : 14,064.12 = 5,944.92 : x
  2. Step 2: Convert to fraction form
    10,191.12/14,064.12 = 5,944.92/x
  3. Step 3: Cross multiply
    10,191.12x = 14,064.12 × 5,944.92
  4. Step 4: Simplify right side
    10,191.12x = 83,610,068.27
  5. Step 5: Solve for x
    x = 83,610,068.27/10,191.12
  6. Step 6: Final answer
    x = 8,204.21

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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.