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Finding the Fourth Proportional to 11,342.15, 17,014.98 and 5,792.49

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Solution

The fourth proportional to 11,342.15, 17,014.98 and 5,792.49 is: 8,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,342.15 : 17,014.98 = 5,792.49 : x
  2. Step 2: Convert to fraction form
    11,342.15/17,014.98 = 5,792.49/x
  3. Step 3: Cross multiply
    11,342.15x = 17,014.98 × 5,792.49
  4. Step 4: Simplify right side
    11,342.15x = 98,559,101.50
  5. Step 5: Solve for x
    x = 98,559,101.50/11,342.15
  6. Step 6: Final answer
    x = 8,689.64

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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.