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Finding the Fourth Proportional to 7,497.65, 10,339 and 6,438.92

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Solution

The fourth proportional to 7,497.65, 10,339 and 6,438.92 is: 8,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.65 : 10,339 = 6,438.92 : x
  2. Step 2: Convert to fraction form
    7,497.65/10,339 = 6,438.92/x
  3. Step 3: Cross multiply
    7,497.65x = 10,339 × 6,438.92
  4. Step 4: Simplify right side
    7,497.65x = 66,571,993.88
  5. Step 5: Solve for x
    x = 66,571,993.88/7,497.65
  6. Step 6: Final answer
    x = 8,879.05

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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.