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Finding the Fourth Proportional to 8,670.32, 11,965.12 and 4,691.42

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Solution

The fourth proportional to 8,670.32, 11,965.12 and 4,691.42 is: 6,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.32 : 11,965.12 = 4,691.42 : x
  2. Step 2: Convert to fraction form
    8,670.32/11,965.12 = 4,691.42/x
  3. Step 3: Cross multiply
    8,670.32x = 11,965.12 × 4,691.42
  4. Step 4: Simplify right side
    8,670.32x = 56,133,403.27
  5. Step 5: Solve for x
    x = 56,133,403.27/8,670.32
  6. Step 6: Final answer
    x = 6,474.20

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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.