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Finding the Fourth Proportional to 8,459.86, 11,673.72 and 4,682.50

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Solution

The fourth proportional to 8,459.86, 11,673.72 and 4,682.50 is: 6,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.86 : 11,673.72 = 4,682.50 : x
  2. Step 2: Convert to fraction form
    8,459.86/11,673.72 = 4,682.50/x
  3. Step 3: Cross multiply
    8,459.86x = 11,673.72 × 4,682.50
  4. Step 4: Simplify right side
    8,459.86x = 54,662,148.30
  5. Step 5: Solve for x
    x = 54,662,148.30/8,459.86
  6. Step 6: Final answer
    x = 6,461.36

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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.