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Finding the Fourth Proportional to 10,300.94, 15,422.21 and 6,780.35

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Solution

The fourth proportional to 10,300.94, 15,422.21 and 6,780.35 is: 10,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.94 : 15,422.21 = 6,780.35 : x
  2. Step 2: Convert to fraction form
    10,300.94/15,422.21 = 6,780.35/x
  3. Step 3: Cross multiply
    10,300.94x = 15,422.21 × 6,780.35
  4. Step 4: Simplify right side
    10,300.94x = 104,568,011.65
  5. Step 5: Solve for x
    x = 104,568,011.65/10,300.94
  6. Step 6: Final answer
    x = 10,151.31

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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.