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Finding the Fourth Proportional to 10,412.70, 15,619.05 and 8,663.10

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Solution

The fourth proportional to 10,412.70, 15,619.05 and 8,663.10 is: 12,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412.70 : 15,619.05 = 8,663.10 : x
  2. Step 2: Convert to fraction form
    10,412.70/15,619.05 = 8,663.10/x
  3. Step 3: Cross multiply
    10,412.70x = 15,619.05 × 8,663.10
  4. Step 4: Simplify right side
    10,412.70x = 135,309,392.06
  5. Step 5: Solve for x
    x = 135,309,392.06/10,412.70
  6. Step 6: Final answer
    x = 12,994.65

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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.