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Finding the Fourth Proportional to 6,833.68, 10,259.16 and 5,814.16

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Solution

The fourth proportional to 6,833.68, 10,259.16 and 5,814.16 is: 8,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.68 : 10,259.16 = 5,814.16 : x
  2. Step 2: Convert to fraction form
    6,833.68/10,259.16 = 5,814.16/x
  3. Step 3: Cross multiply
    6,833.68x = 10,259.16 × 5,814.16
  4. Step 4: Simplify right side
    6,833.68x = 59,648,397.71
  5. Step 5: Solve for x
    x = 59,648,397.71/6,833.68
  6. Step 6: Final answer
    x = 8,728.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.