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Finding the Fourth Proportional to 8,690.08, 11,992.16 and 4,964

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Solution

The fourth proportional to 8,690.08, 11,992.16 and 4,964 is: 6,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.08 : 11,992.16 = 4,964 : x
  2. Step 2: Convert to fraction form
    8,690.08/11,992.16 = 4,964/x
  3. Step 3: Cross multiply
    8,690.08x = 11,992.16 × 4,964
  4. Step 4: Simplify right side
    8,690.08x = 59,529,082.24
  5. Step 5: Solve for x
    x = 59,529,082.24/8,690.08
  6. Step 6: Final answer
    x = 6,850.23

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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.