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Finding the Fourth Proportional to 6,802.10, 10,203.15 and 2,419.70

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Solution

The fourth proportional to 6,802.10, 10,203.15 and 2,419.70 is: 3,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.10 : 10,203.15 = 2,419.70 : x
  2. Step 2: Convert to fraction form
    6,802.10/10,203.15 = 2,419.70/x
  3. Step 3: Cross multiply
    6,802.10x = 10,203.15 × 2,419.70
  4. Step 4: Simplify right side
    6,802.10x = 24,688,562.06
  5. Step 5: Solve for x
    x = 24,688,562.06/6,802.10
  6. Step 6: Final answer
    x = 3,629.55

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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.