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Finding the Fourth Proportional to 11,482.81, 15,846.26 and 6,447.13

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Solution

The fourth proportional to 11,482.81, 15,846.26 and 6,447.13 is: 8,897.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,482.81 : 15,846.26 = 6,447.13 : x
  2. Step 2: Convert to fraction form
    11,482.81/15,846.26 = 6,447.13/x
  3. Step 3: Cross multiply
    11,482.81x = 15,846.26 × 6,447.13
  4. Step 4: Simplify right side
    11,482.81x = 102,162,826.38
  5. Step 5: Solve for x
    x = 102,162,826.38/11,482.81
  6. Step 6: Final answer
    x = 8,897.03

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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.