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Finding the Fourth Proportional to 7,892.14, 11,835.86 and 6,502.03

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Solution

The fourth proportional to 7,892.14, 11,835.86 and 6,502.03 is: 9,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,892.14 : 11,835.86 = 6,502.03 : x
  2. Step 2: Convert to fraction form
    7,892.14/11,835.86 = 6,502.03/x
  3. Step 3: Cross multiply
    7,892.14x = 11,835.86 × 6,502.03
  4. Step 4: Simplify right side
    7,892.14x = 76,957,084.29
  5. Step 5: Solve for x
    x = 76,957,084.29/7,892.14
  6. Step 6: Final answer
    x = 9,751.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.