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Finding the Fourth Proportional to 7,802.28, 10,767.15 and 4,217.23

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Solution

The fourth proportional to 7,802.28, 10,767.15 and 4,217.23 is: 5,819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.28 : 10,767.15 = 4,217.23 : x
  2. Step 2: Convert to fraction form
    7,802.28/10,767.15 = 4,217.23/x
  3. Step 3: Cross multiply
    7,802.28x = 10,767.15 × 4,217.23
  4. Step 4: Simplify right side
    7,802.28x = 45,407,547.99
  5. Step 5: Solve for x
    x = 45,407,547.99/7,802.28
  6. Step 6: Final answer
    x = 5,819.78

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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.