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Finding the Fourth Proportional to 8,129.64, 11,218.98 and 4,592.76

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Solution

The fourth proportional to 8,129.64, 11,218.98 and 4,592.76 is: 6,338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.64 : 11,218.98 = 4,592.76 : x
  2. Step 2: Convert to fraction form
    8,129.64/11,218.98 = 4,592.76/x
  3. Step 3: Cross multiply
    8,129.64x = 11,218.98 × 4,592.76
  4. Step 4: Simplify right side
    8,129.64x = 51,526,082.58
  5. Step 5: Solve for x
    x = 51,526,082.58/8,129.64
  6. Step 6: Final answer
    x = 6,338.05

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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.