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Finding the Fourth Proportional to 10,212.73, 15,326.72 and 7,586.30

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Solution

The fourth proportional to 10,212.73, 15,326.72 and 7,586.30 is: 11,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.73 : 15,326.72 = 7,586.30 : x
  2. Step 2: Convert to fraction form
    10,212.73/15,326.72 = 7,586.30/x
  3. Step 3: Cross multiply
    10,212.73x = 15,326.72 × 7,586.30
  4. Step 4: Simplify right side
    10,212.73x = 116,273,095.94
  5. Step 5: Solve for x
    x = 116,273,095.94/10,212.73
  6. Step 6: Final answer
    x = 11,385.11

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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.