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Finding the Fourth Proportional to 7,246.19, 9,999.74 and 4,102.38

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Solution

The fourth proportional to 7,246.19, 9,999.74 and 4,102.38 is: 5,661.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,246.19 : 9,999.74 = 4,102.38 : x
  2. Step 2: Convert to fraction form
    7,246.19/9,999.74 = 4,102.38/x
  3. Step 3: Cross multiply
    7,246.19x = 9,999.74 × 4,102.38
  4. Step 4: Simplify right side
    7,246.19x = 41,022,733.38
  5. Step 5: Solve for x
    x = 41,022,733.38/7,246.19
  6. Step 6: Final answer
    x = 5,661.28

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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.