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Finding the Fourth Proportional to 11,152.11, 16,718.91 and 8,697.81

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Solution

The fourth proportional to 11,152.11, 16,718.91 and 8,697.81 is: 13,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,152.11 : 16,718.91 = 8,697.81 : x
  2. Step 2: Convert to fraction form
    11,152.11/16,718.91 = 8,697.81/x
  3. Step 3: Cross multiply
    11,152.11x = 16,718.91 × 8,697.81
  4. Step 4: Simplify right side
    11,152.11x = 145,417,902.59
  5. Step 5: Solve for x
    x = 145,417,902.59/11,152.11
  6. Step 6: Final answer
    x = 13,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.