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Finding the Fourth Proportional to 11,695.88, 17,547.57 and 4,194.39

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Solution

The fourth proportional to 11,695.88, 17,547.57 and 4,194.39 is: 6,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.88 : 17,547.57 = 4,194.39 : x
  2. Step 2: Convert to fraction form
    11,695.88/17,547.57 = 4,194.39/x
  3. Step 3: Cross multiply
    11,695.88x = 17,547.57 × 4,194.39
  4. Step 4: Simplify right side
    11,695.88x = 73,601,319.23
  5. Step 5: Solve for x
    x = 73,601,319.23/11,695.88
  6. Step 6: Final answer
    x = 6,292.93

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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.