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Finding the Fourth Proportional to 7,310.30, 10,933.45 and 6,535.90

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Solution

The fourth proportional to 7,310.30, 10,933.45 and 6,535.90 is: 9,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.30 : 10,933.45 = 6,535.90 : x
  2. Step 2: Convert to fraction form
    7,310.30/10,933.45 = 6,535.90/x
  3. Step 3: Cross multiply
    7,310.30x = 10,933.45 × 6,535.90
  4. Step 4: Simplify right side
    7,310.30x = 71,459,935.86
  5. Step 5: Solve for x
    x = 71,459,935.86/7,310.30
  6. Step 6: Final answer
    x = 9,775.24

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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.