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Finding the Fourth Proportional to 7,225.30, 10,835.90 and 3,065.14

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Solution

The fourth proportional to 7,225.30, 10,835.90 and 3,065.14 is: 4,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.30 : 10,835.90 = 3,065.14 : x
  2. Step 2: Convert to fraction form
    7,225.30/10,835.90 = 3,065.14/x
  3. Step 3: Cross multiply
    7,225.30x = 10,835.90 × 3,065.14
  4. Step 4: Simplify right side
    7,225.30x = 33,213,550.53
  5. Step 5: Solve for x
    x = 33,213,550.53/7,225.30
  6. Step 6: Final answer
    x = 4,596.84

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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.