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Finding the Fourth Proportional to 6,838.66, 10,259.03 and 2,457.15

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Solution

The fourth proportional to 6,838.66, 10,259.03 and 2,457.15 is: 3,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.66 : 10,259.03 = 2,457.15 : x
  2. Step 2: Convert to fraction form
    6,838.66/10,259.03 = 2,457.15/x
  3. Step 3: Cross multiply
    6,838.66x = 10,259.03 × 2,457.15
  4. Step 4: Simplify right side
    6,838.66x = 25,207,975.56
  5. Step 5: Solve for x
    x = 25,207,975.56/6,838.66
  6. Step 6: Final answer
    x = 3,686.10

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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.