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Finding the Fourth Proportional to 11,256.81, 16,879.92 and 6,578.17

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Solution

The fourth proportional to 11,256.81, 16,879.92 and 6,578.17 is: 9,864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.81 : 16,879.92 = 6,578.17 : x
  2. Step 2: Convert to fraction form
    11,256.81/16,879.92 = 6,578.17/x
  3. Step 3: Cross multiply
    11,256.81x = 16,879.92 × 6,578.17
  4. Step 4: Simplify right side
    11,256.81x = 111,038,950.46
  5. Step 5: Solve for x
    x = 111,038,950.46/11,256.81
  6. Step 6: Final answer
    x = 9,864.16

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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.