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Finding the Fourth Proportional to 27,878.68, 41,820.18 and 7,102

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Solution

The fourth proportional to 27,878.68, 41,820.18 and 7,102 is: 10,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.68 : 41,820.18 = 7,102 : x
  2. Step 2: Convert to fraction form
    27,878.68/41,820.18 = 7,102/x
  3. Step 3: Cross multiply
    27,878.68x = 41,820.18 × 7,102
  4. Step 4: Simplify right side
    27,878.68x = 297,006,918.36
  5. Step 5: Solve for x
    x = 297,006,918.36/27,878.68
  6. Step 6: Final answer
    x = 10,653.55

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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.