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Finding the Fourth Proportional to 8,486.05, 11,710.82 and 4,709.47

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Solution

The fourth proportional to 8,486.05, 11,710.82 and 4,709.47 is: 6,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.05 : 11,710.82 = 4,709.47 : x
  2. Step 2: Convert to fraction form
    8,486.05/11,710.82 = 4,709.47/x
  3. Step 3: Cross multiply
    8,486.05x = 11,710.82 × 4,709.47
  4. Step 4: Simplify right side
    8,486.05x = 55,151,673.36
  5. Step 5: Solve for x
    x = 55,151,673.36/8,486.05
  6. Step 6: Final answer
    x = 6,499.10

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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.