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Finding the Fourth Proportional to 8,196.71, 11,312.66 and 5,011.83

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Solution

The fourth proportional to 8,196.71, 11,312.66 and 5,011.83 is: 6,917.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.71 : 11,312.66 = 5,011.83 : x
  2. Step 2: Convert to fraction form
    8,196.71/11,312.66 = 5,011.83/x
  3. Step 3: Cross multiply
    8,196.71x = 11,312.66 × 5,011.83
  4. Step 4: Simplify right side
    8,196.71x = 56,697,141.30
  5. Step 5: Solve for x
    x = 56,697,141.30/8,196.71
  6. Step 6: Final answer
    x = 6,917.07

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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.