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Finding the Fourth Proportional to 8,101.32, 12,157.90 and 5,186.76

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Solution

The fourth proportional to 8,101.32, 12,157.90 and 5,186.76 is: 7,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.32 : 12,157.90 = 5,186.76 : x
  2. Step 2: Convert to fraction form
    8,101.32/12,157.90 = 5,186.76/x
  3. Step 3: Cross multiply
    8,101.32x = 12,157.90 × 5,186.76
  4. Step 4: Simplify right side
    8,101.32x = 63,060,109.40
  5. Step 5: Solve for x
    x = 63,060,109.40/8,101.32
  6. Step 6: Final answer
    x = 7,783.93

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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.