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Finding the Fourth Proportional to 11,684.40, 17,507.88 and 6,137.52

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Solution

The fourth proportional to 11,684.40, 17,507.88 and 6,137.52 is: 9,196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.40 : 17,507.88 = 6,137.52 : x
  2. Step 2: Convert to fraction form
    11,684.40/17,507.88 = 6,137.52/x
  3. Step 3: Cross multiply
    11,684.40x = 17,507.88 × 6,137.52
  4. Step 4: Simplify right side
    11,684.40x = 107,454,963.66
  5. Step 5: Solve for x
    x = 107,454,963.66/11,684.40
  6. Step 6: Final answer
    x = 9,196.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.