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Finding the Fourth Proportional to 10,615.62, 15,928.02 and 5,069.01

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Solution

The fourth proportional to 10,615.62, 15,928.02 and 5,069.01 is: 7,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.62 : 15,928.02 = 5,069.01 : x
  2. Step 2: Convert to fraction form
    10,615.62/15,928.02 = 5,069.01/x
  3. Step 3: Cross multiply
    10,615.62x = 15,928.02 × 5,069.01
  4. Step 4: Simplify right side
    10,615.62x = 80,739,292.66
  5. Step 5: Solve for x
    x = 80,739,292.66/10,615.62
  6. Step 6: Final answer
    x = 7,605.71

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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.