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Finding the Fourth Proportional to 10,642.50, 15,964.02 and 3,717

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Solution

The fourth proportional to 10,642.50, 15,964.02 and 3,717 is: 5,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.50 : 15,964.02 = 3,717 : x
  2. Step 2: Convert to fraction form
    10,642.50/15,964.02 = 3,717/x
  3. Step 3: Cross multiply
    10,642.50x = 15,964.02 × 3,717
  4. Step 4: Simplify right side
    10,642.50x = 59,338,262.34
  5. Step 5: Solve for x
    x = 59,338,262.34/10,642.50
  6. Step 6: Final answer
    x = 5,575.59

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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.