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Finding the Fourth Proportional to 6,689.46, 10,024.02 and 5,296.98

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Solution

The fourth proportional to 6,689.46, 10,024.02 and 5,296.98 is: 7,937.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.46 : 10,024.02 = 5,296.98 : x
  2. Step 2: Convert to fraction form
    6,689.46/10,024.02 = 5,296.98/x
  3. Step 3: Cross multiply
    6,689.46x = 10,024.02 × 5,296.98
  4. Step 4: Simplify right side
    6,689.46x = 53,097,033.46
  5. Step 5: Solve for x
    x = 53,097,033.46/6,689.46
  6. Step 6: Final answer
    x = 7,937.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.