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Finding the Fourth Proportional to 7,878.74, 10,872.72 and 4,342.07

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Solution

The fourth proportional to 7,878.74, 10,872.72 and 4,342.07 is: 5,992.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.74 : 10,872.72 = 4,342.07 : x
  2. Step 2: Convert to fraction form
    7,878.74/10,872.72 = 4,342.07/x
  3. Step 3: Cross multiply
    7,878.74x = 10,872.72 × 4,342.07
  4. Step 4: Simplify right side
    7,878.74x = 47,210,111.33
  5. Step 5: Solve for x
    x = 47,210,111.33/7,878.74
  6. Step 6: Final answer
    x = 5,992.09

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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.