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Finding the Fourth Proportional to 11,364, 17,056.34 and 5,821.16

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Solution

The fourth proportional to 11,364, 17,056.34 and 5,821.16 is: 8,737.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364 : 17,056.34 = 5,821.16 : x
  2. Step 2: Convert to fraction form
    11,364/17,056.34 = 5,821.16/x
  3. Step 3: Cross multiply
    11,364x = 17,056.34 × 5,821.16
  4. Step 4: Simplify right side
    11,364x = 99,287,684.15
  5. Step 5: Solve for x
    x = 99,287,684.15/11,364
  6. Step 6: Final answer
    x = 8,737.04

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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.