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Finding the Fourth Proportional to 7,701.10, 11,551.54 and 1,857.66

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Solution

The fourth proportional to 7,701.10, 11,551.54 and 1,857.66 is: 2,786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.10 : 11,551.54 = 1,857.66 : x
  2. Step 2: Convert to fraction form
    7,701.10/11,551.54 = 1,857.66/x
  3. Step 3: Cross multiply
    7,701.10x = 11,551.54 × 1,857.66
  4. Step 4: Simplify right side
    7,701.10x = 21,458,833.80
  5. Step 5: Solve for x
    x = 21,458,833.80/7,701.10
  6. Step 6: Final answer
    x = 2,786.46

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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.