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Finding the Fourth Proportional to 11,710.88, 16,167.70 and 7,743.50

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Solution

The fourth proportional to 11,710.88, 16,167.70 and 7,743.50 is: 10,690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.88 : 16,167.70 = 7,743.50 : x
  2. Step 2: Convert to fraction form
    11,710.88/16,167.70 = 7,743.50/x
  3. Step 3: Cross multiply
    11,710.88x = 16,167.70 × 7,743.50
  4. Step 4: Simplify right side
    11,710.88x = 125,194,584.95
  5. Step 5: Solve for x
    x = 125,194,584.95/11,710.88
  6. Step 6: Final answer
    x = 10,690.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.