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Finding the Fourth Proportional to 10,482.74, 15,704.11 and 6,962.09

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Solution

The fourth proportional to 10,482.74, 15,704.11 and 6,962.09 is: 10,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.74 : 15,704.11 = 6,962.09 : x
  2. Step 2: Convert to fraction form
    10,482.74/15,704.11 = 6,962.09/x
  3. Step 3: Cross multiply
    10,482.74x = 15,704.11 × 6,962.09
  4. Step 4: Simplify right side
    10,482.74x = 109,333,480.66
  5. Step 5: Solve for x
    x = 109,333,480.66/10,482.74
  6. Step 6: Final answer
    x = 10,429.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.