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Finding the Fourth Proportional to 8,538.35, 12,796.59 and 6,586.46

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Solution

The fourth proportional to 8,538.35, 12,796.59 and 6,586.46 is: 9,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.35 : 12,796.59 = 6,586.46 : x
  2. Step 2: Convert to fraction form
    8,538.35/12,796.59 = 6,586.46/x
  3. Step 3: Cross multiply
    8,538.35x = 12,796.59 × 6,586.46
  4. Step 4: Simplify right side
    8,538.35x = 84,284,228.17
  5. Step 5: Solve for x
    x = 84,284,228.17/8,538.35
  6. Step 6: Final answer
    x = 9,871.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.