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Finding the Fourth Proportional to 11,605.64, 16,016.26 and 6,569.32

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Solution

The fourth proportional to 11,605.64, 16,016.26 and 6,569.32 is: 9,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.64 : 16,016.26 = 6,569.32 : x
  2. Step 2: Convert to fraction form
    11,605.64/16,016.26 = 6,569.32/x
  3. Step 3: Cross multiply
    11,605.64x = 16,016.26 × 6,569.32
  4. Step 4: Simplify right side
    11,605.64x = 105,215,937.14
  5. Step 5: Solve for x
    x = 105,215,937.14/11,605.64
  6. Step 6: Final answer
    x = 9,065.93

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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.