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Finding the Fourth Proportional to 8,186.31, 11,298.48 and 4,829.96

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Solution

The fourth proportional to 8,186.31, 11,298.48 and 4,829.96 is: 6,666.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.31 : 11,298.48 = 4,829.96 : x
  2. Step 2: Convert to fraction form
    8,186.31/11,298.48 = 4,829.96/x
  3. Step 3: Cross multiply
    8,186.31x = 11,298.48 × 4,829.96
  4. Step 4: Simplify right side
    8,186.31x = 54,571,125.82
  5. Step 5: Solve for x
    x = 54,571,125.82/8,186.31
  6. Step 6: Final answer
    x = 6,666.14

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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.