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Finding the Fourth Proportional to 7,564.32, 11,338.20 and 6,465.33

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Solution

The fourth proportional to 7,564.32, 11,338.20 and 6,465.33 is: 9,690.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,564.32 : 11,338.20 = 6,465.33 : x
  2. Step 2: Convert to fraction form
    7,564.32/11,338.20 = 6,465.33/x
  3. Step 3: Cross multiply
    7,564.32x = 11,338.20 × 6,465.33
  4. Step 4: Simplify right side
    7,564.32x = 73,305,204.61
  5. Step 5: Solve for x
    x = 73,305,204.61/7,564.32
  6. Step 6: Final answer
    x = 9,690.92

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