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Finding the Fourth Proportional to 11,594.32, 17,341.84 and 10,753.94

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Solution

The fourth proportional to 11,594.32, 17,341.84 and 10,753.94 is: 16,084.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.32 : 17,341.84 = 10,753.94 : x
  2. Step 2: Convert to fraction form
    11,594.32/17,341.84 = 10,753.94/x
  3. Step 3: Cross multiply
    11,594.32x = 17,341.84 × 10,753.94
  4. Step 4: Simplify right side
    11,594.32x = 186,493,106.85
  5. Step 5: Solve for x
    x = 186,493,106.85/11,594.32
  6. Step 6: Final answer
    x = 16,084.87

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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.