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Finding the Fourth Proportional to 7,822.46, 10,795.02 and 4,285.60

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Solution

The fourth proportional to 7,822.46, 10,795.02 and 4,285.60 is: 5,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.46 : 10,795.02 = 4,285.60 : x
  2. Step 2: Convert to fraction form
    7,822.46/10,795.02 = 4,285.60/x
  3. Step 3: Cross multiply
    7,822.46x = 10,795.02 × 4,285.60
  4. Step 4: Simplify right side
    7,822.46x = 46,263,137.71
  5. Step 5: Solve for x
    x = 46,263,137.71/7,822.46
  6. Step 6: Final answer
    x = 5,914.14

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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.