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Finding the Fourth Proportional to 7,872.30, 10,852.11 and 5,215.50

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Solution

The fourth proportional to 7,872.30, 10,852.11 and 5,215.50 is: 7,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.30 : 10,852.11 = 5,215.50 : x
  2. Step 2: Convert to fraction form
    7,872.30/10,852.11 = 5,215.50/x
  3. Step 3: Cross multiply
    7,872.30x = 10,852.11 × 5,215.50
  4. Step 4: Simplify right side
    7,872.30x = 56,599,179.71
  5. Step 5: Solve for x
    x = 56,599,179.71/7,872.30
  6. Step 6: Final answer
    x = 7,189.66

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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.