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Finding the Fourth Proportional to 11,382.72, 15,709.19 and 6,907.61

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Solution

The fourth proportional to 11,382.72, 15,709.19 and 6,907.61 is: 9,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.72 : 15,709.19 = 6,907.61 : x
  2. Step 2: Convert to fraction form
    11,382.72/15,709.19 = 6,907.61/x
  3. Step 3: Cross multiply
    11,382.72x = 15,709.19 × 6,907.61
  4. Step 4: Simplify right side
    11,382.72x = 108,512,957.94
  5. Step 5: Solve for x
    x = 108,512,957.94/11,382.72
  6. Step 6: Final answer
    x = 9,533.13

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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.