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Finding the Fourth Proportional to 8,094.96, 11,159.64 and 6,107.76

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Solution

The fourth proportional to 8,094.96, 11,159.64 and 6,107.76 is: 8,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.96 : 11,159.64 = 6,107.76 : x
  2. Step 2: Convert to fraction form
    8,094.96/11,159.64 = 6,107.76/x
  3. Step 3: Cross multiply
    8,094.96x = 11,159.64 × 6,107.76
  4. Step 4: Simplify right side
    8,094.96x = 68,160,402.81
  5. Step 5: Solve for x
    x = 68,160,402.81/8,094.96
  6. Step 6: Final answer
    x = 8,420.10

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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.