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Finding the Fourth Proportional to 7,546.78, 10,414.62 and 4,564.60

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Solution

The fourth proportional to 7,546.78, 10,414.62 and 4,564.60 is: 6,299.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.78 : 10,414.62 = 4,564.60 : x
  2. Step 2: Convert to fraction form
    7,546.78/10,414.62 = 4,564.60/x
  3. Step 3: Cross multiply
    7,546.78x = 10,414.62 × 4,564.60
  4. Step 4: Simplify right side
    7,546.78x = 47,538,574.45
  5. Step 5: Solve for x
    x = 47,538,574.45/7,546.78
  6. Step 6: Final answer
    x = 6,299.19

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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.