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Finding the Fourth Proportional to 7,564.54, 10,439.54 and 4,208.10

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Solution

The fourth proportional to 7,564.54, 10,439.54 and 4,208.10 is: 5,807.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.54 : 10,439.54 = 4,208.10 : x
  2. Step 2: Convert to fraction form
    7,564.54/10,439.54 = 4,208.10/x
  3. Step 3: Cross multiply
    7,564.54x = 10,439.54 × 4,208.10
  4. Step 4: Simplify right side
    7,564.54x = 43,930,628.27
  5. Step 5: Solve for x
    x = 43,930,628.27/7,564.54
  6. Step 6: Final answer
    x = 5,807.44

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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.