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Finding the Fourth Proportional to 8,662.50, 11,948.67 and 5,123.25

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Solution

The fourth proportional to 8,662.50, 11,948.67 and 5,123.25 is: 7,066.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.50 : 11,948.67 = 5,123.25 : x
  2. Step 2: Convert to fraction form
    8,662.50/11,948.67 = 5,123.25/x
  3. Step 3: Cross multiply
    8,662.50x = 11,948.67 × 5,123.25
  4. Step 4: Simplify right side
    8,662.50x = 61,216,023.58
  5. Step 5: Solve for x
    x = 61,216,023.58/8,662.50
  6. Step 6: Final answer
    x = 7,066.78

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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.