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Finding the Fourth Proportional to 7,384, 11,068.38 and 4,098.64

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Solution

The fourth proportional to 7,384, 11,068.38 and 4,098.64 is: 6,143.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384 : 11,068.38 = 4,098.64 : x
  2. Step 2: Convert to fraction form
    7,384/11,068.38 = 4,098.64/x
  3. Step 3: Cross multiply
    7,384x = 11,068.38 × 4,098.64
  4. Step 4: Simplify right side
    7,384x = 45,365,305.00
  5. Step 5: Solve for x
    x = 45,365,305.00/7,384
  6. Step 6: Final answer
    x = 6,143.73

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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.