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Finding the Fourth Proportional to 7,301.40, 10,078.20 and 4,469.64

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Solution

The fourth proportional to 7,301.40, 10,078.20 and 4,469.64 is: 6,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.40 : 10,078.20 = 4,469.64 : x
  2. Step 2: Convert to fraction form
    7,301.40/10,078.20 = 4,469.64/x
  3. Step 3: Cross multiply
    7,301.40x = 10,078.20 × 4,469.64
  4. Step 4: Simplify right side
    7,301.40x = 45,045,925.85
  5. Step 5: Solve for x
    x = 45,045,925.85/7,301.40
  6. Step 6: Final answer
    x = 6,169.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.