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Finding the Fourth Proportional to 7,772.25, 10,730.48 and 4,792.16

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Solution

The fourth proportional to 7,772.25, 10,730.48 and 4,792.16 is: 6,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.25 : 10,730.48 = 4,792.16 : x
  2. Step 2: Convert to fraction form
    7,772.25/10,730.48 = 4,792.16/x
  3. Step 3: Cross multiply
    7,772.25x = 10,730.48 × 4,792.16
  4. Step 4: Simplify right side
    7,772.25x = 51,422,179.90
  5. Step 5: Solve for x
    x = 51,422,179.90/7,772.25
  6. Step 6: Final answer
    x = 6,616.12

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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.