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Finding the Fourth Proportional to 10,933.80, 16,366.14 and 7,803.72

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Solution

The fourth proportional to 10,933.80, 16,366.14 and 7,803.72 is: 11,680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,933.80 : 16,366.14 = 7,803.72 : x
  2. Step 2: Convert to fraction form
    10,933.80/16,366.14 = 7,803.72/x
  3. Step 3: Cross multiply
    10,933.80x = 16,366.14 × 7,803.72
  4. Step 4: Simplify right side
    10,933.80x = 127,716,774.04
  5. Step 5: Solve for x
    x = 127,716,774.04/10,933.80
  6. Step 6: Final answer
    x = 11,680.91

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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.