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Finding the Fourth Proportional to 11,374.50, 17,055.51 and 6,115.74

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Solution

The fourth proportional to 11,374.50, 17,055.51 and 6,115.74 is: 9,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.50 : 17,055.51 = 6,115.74 : x
  2. Step 2: Convert to fraction form
    11,374.50/17,055.51 = 6,115.74/x
  3. Step 3: Cross multiply
    11,374.50x = 17,055.51 × 6,115.74
  4. Step 4: Simplify right side
    11,374.50x = 104,307,064.73
  5. Step 5: Solve for x
    x = 104,307,064.73/11,374.50
  6. Step 6: Final answer
    x = 9,170.25

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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.