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Finding the Fourth Proportional to 7,282.25, 10,039.32 and 6,158.69

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Solution

The fourth proportional to 7,282.25, 10,039.32 and 6,158.69 is: 8,490.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.25 : 10,039.32 = 6,158.69 : x
  2. Step 2: Convert to fraction form
    7,282.25/10,039.32 = 6,158.69/x
  3. Step 3: Cross multiply
    7,282.25x = 10,039.32 × 6,158.69
  4. Step 4: Simplify right side
    7,282.25x = 61,829,059.69
  5. Step 5: Solve for x
    x = 61,829,059.69/7,282.25
  6. Step 6: Final answer
    x = 8,490.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.