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Finding the Fourth Proportional to 11,756.76, 16,223.68 and 6,451.16

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Solution

The fourth proportional to 11,756.76, 16,223.68 and 6,451.16 is: 8,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.76 : 16,223.68 = 6,451.16 : x
  2. Step 2: Convert to fraction form
    11,756.76/16,223.68 = 6,451.16/x
  3. Step 3: Cross multiply
    11,756.76x = 16,223.68 × 6,451.16
  4. Step 4: Simplify right side
    11,756.76x = 104,661,531.04
  5. Step 5: Solve for x
    x = 104,661,531.04/11,756.76
  6. Step 6: Final answer
    x = 8,902.24

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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.