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Finding the Fourth Proportional to 10,045.22, 15,065.78 and 3,803.09

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Solution

The fourth proportional to 10,045.22, 15,065.78 and 3,803.09 is: 5,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,045.22 : 15,065.78 = 3,803.09 : x
  2. Step 2: Convert to fraction form
    10,045.22/15,065.78 = 3,803.09/x
  3. Step 3: Cross multiply
    10,045.22x = 15,065.78 × 3,803.09
  4. Step 4: Simplify right side
    10,045.22x = 57,296,422.92
  5. Step 5: Solve for x
    x = 57,296,422.92/10,045.22
  6. Step 6: Final answer
    x = 5,703.85

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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.