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Finding the Fourth Proportional to 7,701.33, 11,552.02 and 1,857.94

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Solution

The fourth proportional to 7,701.33, 11,552.02 and 1,857.94 is: 2,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701.33 : 11,552.02 = 1,857.94 : x
  2. Step 2: Convert to fraction form
    7,701.33/11,552.02 = 1,857.94/x
  3. Step 3: Cross multiply
    7,701.33x = 11,552.02 × 1,857.94
  4. Step 4: Simplify right side
    7,701.33x = 21,462,926.51
  5. Step 5: Solve for x
    x = 21,462,926.51/7,701.33
  6. Step 6: Final answer
    x = 2,786.91

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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.