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Finding the Fourth Proportional to 7,802.74, 10,766.96 and 4,616.16

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Solution

The fourth proportional to 7,802.74, 10,766.96 and 4,616.16 is: 6,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.74 : 10,766.96 = 4,616.16 : x
  2. Step 2: Convert to fraction form
    7,802.74/10,766.96 = 4,616.16/x
  3. Step 3: Cross multiply
    7,802.74x = 10,766.96 × 4,616.16
  4. Step 4: Simplify right side
    7,802.74x = 49,701,960.08
  5. Step 5: Solve for x
    x = 49,701,960.08/7,802.74
  6. Step 6: Final answer
    x = 6,369.81

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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.