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Finding the Fourth Proportional to 10,476.62, 15,704.55 and 4,920.02

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Solution

The fourth proportional to 10,476.62, 15,704.55 and 4,920.02 is: 7,375.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.62 : 15,704.55 = 4,920.02 : x
  2. Step 2: Convert to fraction form
    10,476.62/15,704.55 = 4,920.02/x
  3. Step 3: Cross multiply
    10,476.62x = 15,704.55 × 4,920.02
  4. Step 4: Simplify right side
    10,476.62x = 77,266,700.09
  5. Step 5: Solve for x
    x = 77,266,700.09/10,476.62
  6. Step 6: Final answer
    x = 7,375.16

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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.