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Finding the Fourth Proportional to 11,656.47, 17,491.99 and 4,730.97

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Solution

The fourth proportional to 11,656.47, 17,491.99 and 4,730.97 is: 7,099.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.47 : 17,491.99 = 4,730.97 : x
  2. Step 2: Convert to fraction form
    11,656.47/17,491.99 = 4,730.97/x
  3. Step 3: Cross multiply
    11,656.47x = 17,491.99 × 4,730.97
  4. Step 4: Simplify right side
    11,656.47x = 82,754,079.93
  5. Step 5: Solve for x
    x = 82,754,079.93/11,656.47
  6. Step 6: Final answer
    x = 7,099.41

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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.