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Finding the Fourth Proportional to 7,317.38, 10,098.94 and 4,801.64

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Solution

The fourth proportional to 7,317.38, 10,098.94 and 4,801.64 is: 6,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317.38 : 10,098.94 = 4,801.64 : x
  2. Step 2: Convert to fraction form
    7,317.38/10,098.94 = 4,801.64/x
  3. Step 3: Cross multiply
    7,317.38x = 10,098.94 × 4,801.64
  4. Step 4: Simplify right side
    7,317.38x = 48,491,474.26
  5. Step 5: Solve for x
    x = 48,491,474.26/7,317.38
  6. Step 6: Final answer
    x = 6,626.89

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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.