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Finding the Fourth Proportional to 7,315.72, 10,097.22 and 6,725.32

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Solution

The fourth proportional to 7,315.72, 10,097.22 and 6,725.32 is: 9,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.72 : 10,097.22 = 6,725.32 : x
  2. Step 2: Convert to fraction form
    7,315.72/10,097.22 = 6,725.32/x
  3. Step 3: Cross multiply
    7,315.72x = 10,097.22 × 6,725.32
  4. Step 4: Simplify right side
    7,315.72x = 67,907,035.61
  5. Step 5: Solve for x
    x = 67,907,035.61/7,315.72
  6. Step 6: Final answer
    x = 9,282.34

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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.