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Finding the Fourth Proportional to 11,312.60, 16,968.90 and 10,832.70

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Solution

The fourth proportional to 11,312.60, 16,968.90 and 10,832.70 is: 16,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.60 : 16,968.90 = 10,832.70 : x
  2. Step 2: Convert to fraction form
    11,312.60/16,968.90 = 10,832.70/x
  3. Step 3: Cross multiply
    11,312.60x = 16,968.90 × 10,832.70
  4. Step 4: Simplify right side
    11,312.60x = 183,819,003.03
  5. Step 5: Solve for x
    x = 183,819,003.03/11,312.60
  6. Step 6: Final answer
    x = 16,249.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.