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Finding the Fourth Proportional to 7,564.57, 10,438.77 and 4,377.36

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Solution

The fourth proportional to 7,564.57, 10,438.77 and 4,377.36 is: 6,040.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.57 : 10,438.77 = 4,377.36 : x
  2. Step 2: Convert to fraction form
    7,564.57/10,438.77 = 4,377.36/x
  3. Step 3: Cross multiply
    7,564.57x = 10,438.77 × 4,377.36
  4. Step 4: Simplify right side
    7,564.57x = 45,694,254.25
  5. Step 5: Solve for x
    x = 45,694,254.25/7,564.57
  6. Step 6: Final answer
    x = 6,040.56

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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.