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Finding the Fourth Proportional to 12,086.16, 18,116.04 and 4,688.40

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Solution

The fourth proportional to 12,086.16, 18,116.04 and 4,688.40 is: 7,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.16 : 18,116.04 = 4,688.40 : x
  2. Step 2: Convert to fraction form
    12,086.16/18,116.04 = 4,688.40/x
  3. Step 3: Cross multiply
    12,086.16x = 18,116.04 × 4,688.40
  4. Step 4: Simplify right side
    12,086.16x = 84,935,241.94
  5. Step 5: Solve for x
    x = 84,935,241.94/12,086.16
  6. Step 6: Final answer
    x = 7,027.48

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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.