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Finding the Fourth Proportional to 11,710.71, 16,160.72 and 6,675.75

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Solution

The fourth proportional to 11,710.71, 16,160.72 and 6,675.75 is: 9,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.71 : 16,160.72 = 6,675.75 : x
  2. Step 2: Convert to fraction form
    11,710.71/16,160.72 = 6,675.75/x
  3. Step 3: Cross multiply
    11,710.71x = 16,160.72 × 6,675.75
  4. Step 4: Simplify right side
    11,710.71x = 107,884,893.16
  5. Step 5: Solve for x
    x = 107,884,893.16/11,710.71
  6. Step 6: Final answer
    x = 9,212.50

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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.