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Finding the Fourth Proportional to 7,872.86, 10,853.66 and 5,630.82

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Solution

The fourth proportional to 7,872.86, 10,853.66 and 5,630.82 is: 7,762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.86 : 10,853.66 = 5,630.82 : x
  2. Step 2: Convert to fraction form
    7,872.86/10,853.66 = 5,630.82/x
  3. Step 3: Cross multiply
    7,872.86x = 10,853.66 × 5,630.82
  4. Step 4: Simplify right side
    7,872.86x = 61,114,977.65
  5. Step 5: Solve for x
    x = 61,114,977.65/7,872.86
  6. Step 6: Final answer
    x = 7,762.75

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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.