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Finding the Fourth Proportional to 7,591.46, 10,471.83 and 4,564.48

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Solution

The fourth proportional to 7,591.46, 10,471.83 and 4,564.48 is: 6,296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.46 : 10,471.83 = 4,564.48 : x
  2. Step 2: Convert to fraction form
    7,591.46/10,471.83 = 4,564.48/x
  3. Step 3: Cross multiply
    7,591.46x = 10,471.83 × 4,564.48
  4. Step 4: Simplify right side
    7,591.46x = 47,798,404.45
  5. Step 5: Solve for x
    x = 47,798,404.45/7,591.46
  6. Step 6: Final answer
    x = 6,296.34

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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.