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Finding the Fourth Proportional to 8,094.63, 11,171.47 and 4,907.76

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Solution

The fourth proportional to 8,094.63, 11,171.47 and 4,907.76 is: 6,773.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,094.63 : 11,171.47 = 4,907.76 : x
  2. Step 2: Convert to fraction form
    8,094.63/11,171.47 = 4,907.76/x
  3. Step 3: Cross multiply
    8,094.63x = 11,171.47 × 4,907.76
  4. Step 4: Simplify right side
    8,094.63x = 54,826,942.91
  5. Step 5: Solve for x
    x = 54,826,942.91/8,094.63
  6. Step 6: Final answer
    x = 6,773.25

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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.