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Finding the Fourth Proportional to 11,904.32, 17,861.34 and 6,569.66

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Solution

The fourth proportional to 11,904.32, 17,861.34 and 6,569.66 is: 9,857.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.32 : 17,861.34 = 6,569.66 : x
  2. Step 2: Convert to fraction form
    11,904.32/17,861.34 = 6,569.66/x
  3. Step 3: Cross multiply
    11,904.32x = 17,861.34 × 6,569.66
  4. Step 4: Simplify right side
    11,904.32x = 117,342,841.64
  5. Step 5: Solve for x
    x = 117,342,841.64/11,904.32
  6. Step 6: Final answer
    x = 9,857.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.