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Finding the Fourth Proportional to 11,349.78, 17,040.46 and 5,806.95

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Solution

The fourth proportional to 11,349.78, 17,040.46 and 5,806.95 is: 8,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.78 : 17,040.46 = 5,806.95 : x
  2. Step 2: Convert to fraction form
    11,349.78/17,040.46 = 5,806.95/x
  3. Step 3: Cross multiply
    11,349.78x = 17,040.46 × 5,806.95
  4. Step 4: Simplify right side
    11,349.78x = 98,953,031.67
  5. Step 5: Solve for x
    x = 98,953,031.67/11,349.78
  6. Step 6: Final answer
    x = 8,718.50

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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.