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Finding the Fourth Proportional to 7,282.71, 10,927.71 and 3,580.61

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Solution

The fourth proportional to 7,282.71, 10,927.71 and 3,580.61 is: 5,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,282.71 : 10,927.71 = 3,580.61 : x
  2. Step 2: Convert to fraction form
    7,282.71/10,927.71 = 3,580.61/x
  3. Step 3: Cross multiply
    7,282.71x = 10,927.71 × 3,580.61
  4. Step 4: Simplify right side
    7,282.71x = 39,127,813.06
  5. Step 5: Solve for x
    x = 39,127,813.06/7,282.71
  6. Step 6: Final answer
    x = 5,372.70

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Why These Related Problems?

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