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Finding the Fourth Proportional to 7,822.53, 10,794.60 and 4,285.08

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Solution

The fourth proportional to 7,822.53, 10,794.60 and 4,285.08 is: 5,913.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.53 : 10,794.60 = 4,285.08 : x
  2. Step 2: Convert to fraction form
    7,822.53/10,794.60 = 4,285.08/x
  3. Step 3: Cross multiply
    7,822.53x = 10,794.60 × 4,285.08
  4. Step 4: Simplify right side
    7,822.53x = 46,255,724.57
  5. Step 5: Solve for x
    x = 46,255,724.57/7,822.53
  6. Step 6: Final answer
    x = 5,913.14

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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.