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Finding the Fourth Proportional to 7,303.86, 10,933.16 and 5,905.53

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Solution

The fourth proportional to 7,303.86, 10,933.16 and 5,905.53 is: 8,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.86 : 10,933.16 = 5,905.53 : x
  2. Step 2: Convert to fraction form
    7,303.86/10,933.16 = 5,905.53/x
  3. Step 3: Cross multiply
    7,303.86x = 10,933.16 × 5,905.53
  4. Step 4: Simplify right side
    7,303.86x = 64,566,074.85
  5. Step 5: Solve for x
    x = 64,566,074.85/7,303.86
  6. Step 6: Final answer
    x = 8,839.99

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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.