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Finding the Fourth Proportional to 8,247.15, 11,381.04 and 4,710.15

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Solution

The fourth proportional to 8,247.15, 11,381.04 and 4,710.15 is: 6,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.15 : 11,381.04 = 4,710.15 : x
  2. Step 2: Convert to fraction form
    8,247.15/11,381.04 = 4,710.15/x
  3. Step 3: Cross multiply
    8,247.15x = 11,381.04 × 4,710.15
  4. Step 4: Simplify right side
    8,247.15x = 53,606,405.56
  5. Step 5: Solve for x
    x = 53,606,405.56/8,247.15
  6. Step 6: Final answer
    x = 6,499.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.