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Finding the Fourth Proportional to 8,663.72, 12,994.14 and 3,116.03

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Solution

The fourth proportional to 8,663.72, 12,994.14 and 3,116.03 is: 4,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.72 : 12,994.14 = 3,116.03 : x
  2. Step 2: Convert to fraction form
    8,663.72/12,994.14 = 3,116.03/x
  3. Step 3: Cross multiply
    8,663.72x = 12,994.14 × 3,116.03
  4. Step 4: Simplify right side
    8,663.72x = 40,490,065.09
  5. Step 5: Solve for x
    x = 40,490,065.09/8,663.72
  6. Step 6: Final answer
    x = 4,673.52

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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.