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Finding the Fourth Proportional to 8,242.96, 12,366.40 and 2,696.32

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Solution

The fourth proportional to 8,242.96, 12,366.40 and 2,696.32 is: 4,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.96 : 12,366.40 = 2,696.32 : x
  2. Step 2: Convert to fraction form
    8,242.96/12,366.40 = 2,696.32/x
  3. Step 3: Cross multiply
    8,242.96x = 12,366.40 × 2,696.32
  4. Step 4: Simplify right side
    8,242.96x = 33,343,771.65
  5. Step 5: Solve for x
    x = 33,343,771.65/8,242.96
  6. Step 6: Final answer
    x = 4,045.12

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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.