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Finding the Fourth Proportional to 8,196.76, 11,298.04 and 5,807.53

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Solution

The fourth proportional to 8,196.76, 11,298.04 and 5,807.53 is: 8,004.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.76 : 11,298.04 = 5,807.53 : x
  2. Step 2: Convert to fraction form
    8,196.76/11,298.04 = 5,807.53/x
  3. Step 3: Cross multiply
    8,196.76x = 11,298.04 × 5,807.53
  4. Step 4: Simplify right side
    8,196.76x = 65,613,706.24
  5. Step 5: Solve for x
    x = 65,613,706.24/8,196.76
  6. Step 6: Final answer
    x = 8,004.83

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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.