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Finding the Fourth Proportional to 8,191.81, 11,306.01 and 4,656.16

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Solution

The fourth proportional to 8,191.81, 11,306.01 and 4,656.16 is: 6,426.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.81 : 11,306.01 = 4,656.16 : x
  2. Step 2: Convert to fraction form
    8,191.81/11,306.01 = 4,656.16/x
  3. Step 3: Cross multiply
    8,191.81x = 11,306.01 × 4,656.16
  4. Step 4: Simplify right side
    8,191.81x = 52,642,591.52
  5. Step 5: Solve for x
    x = 52,642,591.52/8,191.81
  6. Step 6: Final answer
    x = 6,426.25

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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.