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Finding the Fourth Proportional to 8,670.36, 11,965.06 and 4,691.46

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Solution

The fourth proportional to 8,670.36, 11,965.06 and 4,691.46 is: 6,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.36 : 11,965.06 = 4,691.46 : x
  2. Step 2: Convert to fraction form
    8,670.36/11,965.06 = 4,691.46/x
  3. Step 3: Cross multiply
    8,670.36x = 11,965.06 × 4,691.46
  4. Step 4: Simplify right side
    8,670.36x = 56,133,600.39
  5. Step 5: Solve for x
    x = 56,133,600.39/8,670.36
  6. Step 6: Final answer
    x = 6,474.19

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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.