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Finding the Fourth Proportional to 8,459.14, 11,673.45 and 4,682.31

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Solution

The fourth proportional to 8,459.14, 11,673.45 and 4,682.31 is: 6,461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.14 : 11,673.45 = 4,682.31 : x
  2. Step 2: Convert to fraction form
    8,459.14/11,673.45 = 4,682.31/x
  3. Step 3: Cross multiply
    8,459.14x = 11,673.45 × 4,682.31
  4. Step 4: Simplify right side
    8,459.14x = 54,658,711.67
  5. Step 5: Solve for x
    x = 54,658,711.67/8,459.14
  6. Step 6: Final answer
    x = 6,461.50

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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.