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Finding the Fourth Proportional to 8,419.70, 11,610.56 and 5,586.08

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Solution

The fourth proportional to 8,419.70, 11,610.56 and 5,586.08 is: 7,703.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.70 : 11,610.56 = 5,586.08 : x
  2. Step 2: Convert to fraction form
    8,419.70/11,610.56 = 5,586.08/x
  3. Step 3: Cross multiply
    8,419.70x = 11,610.56 × 5,586.08
  4. Step 4: Simplify right side
    8,419.70x = 64,857,517.00
  5. Step 5: Solve for x
    x = 64,857,517.00/8,419.70
  6. Step 6: Final answer
    x = 7,703.07

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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.