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Finding the Fourth Proportional to 7,000.23, 9,661.23 and 4,015.49

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Solution

The fourth proportional to 7,000.23, 9,661.23 and 4,015.49 is: 5,541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.23 : 9,661.23 = 4,015.49 : x
  2. Step 2: Convert to fraction form
    7,000.23/9,661.23 = 4,015.49/x
  3. Step 3: Cross multiply
    7,000.23x = 9,661.23 × 4,015.49
  4. Step 4: Simplify right side
    7,000.23x = 38,794,524.15
  5. Step 5: Solve for x
    x = 38,794,524.15/7,000.23
  6. Step 6: Final answer
    x = 5,541.89

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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.