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Finding the Fourth Proportional to 10,191.16, 14,061.63 and 6,205.15

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Solution

The fourth proportional to 10,191.16, 14,061.63 and 6,205.15 is: 8,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.16 : 14,061.63 = 6,205.15 : x
  2. Step 2: Convert to fraction form
    10,191.16/14,061.63 = 6,205.15/x
  3. Step 3: Cross multiply
    10,191.16x = 14,061.63 × 6,205.15
  4. Step 4: Simplify right side
    10,191.16x = 87,254,523.39
  5. Step 5: Solve for x
    x = 87,254,523.39/10,191.16
  6. Step 6: Final answer
    x = 8,561.79

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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.