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Finding the Fourth Proportional to 7,564.56, 11,332.08 and 3,671.52

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Solution

The fourth proportional to 7,564.56, 11,332.08 and 3,671.52 is: 5,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.56 : 11,332.08 = 3,671.52 : x
  2. Step 2: Convert to fraction form
    7,564.56/11,332.08 = 3,671.52/x
  3. Step 3: Cross multiply
    7,564.56x = 11,332.08 × 3,671.52
  4. Step 4: Simplify right side
    7,564.56x = 41,605,958.36
  5. Step 5: Solve for x
    x = 41,605,958.36/7,564.56
  6. Step 6: Final answer
    x = 5,500.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.