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Finding the Fourth Proportional to 11,713.32, 16,164.70 and 7,000.34

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Solution

The fourth proportional to 11,713.32, 16,164.70 and 7,000.34 is: 9,660.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.32 : 16,164.70 = 7,000.34 : x
  2. Step 2: Convert to fraction form
    11,713.32/16,164.70 = 7,000.34/x
  3. Step 3: Cross multiply
    11,713.32x = 16,164.70 × 7,000.34
  4. Step 4: Simplify right side
    11,713.32x = 113,158,297.67
  5. Step 5: Solve for x
    x = 113,158,297.67/11,713.32
  6. Step 6: Final answer
    x = 9,660.65

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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.