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Finding the Fourth Proportional to 7,002.19, 9,663.71 and 5,230.72

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Solution

The fourth proportional to 7,002.19, 9,663.71 and 5,230.72 is: 7,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.19 : 9,663.71 = 5,230.72 : x
  2. Step 2: Convert to fraction form
    7,002.19/9,663.71 = 5,230.72/x
  3. Step 3: Cross multiply
    7,002.19x = 9,663.71 × 5,230.72
  4. Step 4: Simplify right side
    7,002.19x = 50,548,147.10
  5. Step 5: Solve for x
    x = 50,548,147.10/7,002.19
  6. Step 6: Final answer
    x = 7,218.90

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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.