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Finding the Fourth Proportional to 10,106.20, 15,153.90 and 4,256.20

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Solution

The fourth proportional to 10,106.20, 15,153.90 and 4,256.20 is: 6,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106.20 : 15,153.90 = 4,256.20 : x
  2. Step 2: Convert to fraction form
    10,106.20/15,153.90 = 4,256.20/x
  3. Step 3: Cross multiply
    10,106.20x = 15,153.90 × 4,256.20
  4. Step 4: Simplify right side
    10,106.20x = 64,498,029.18
  5. Step 5: Solve for x
    x = 64,498,029.18/10,106.20
  6. Step 6: Final answer
    x = 6,382.03

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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.