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Finding the Fourth Proportional to 11,284.77, 15,568.17 and 6,805.98

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Solution

The fourth proportional to 11,284.77, 15,568.17 and 6,805.98 is: 9,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.77 : 15,568.17 = 6,805.98 : x
  2. Step 2: Convert to fraction form
    11,284.77/15,568.17 = 6,805.98/x
  3. Step 3: Cross multiply
    11,284.77x = 15,568.17 × 6,805.98
  4. Step 4: Simplify right side
    11,284.77x = 105,956,628.13
  5. Step 5: Solve for x
    x = 105,956,628.13/11,284.77
  6. Step 6: Final answer
    x = 9,389.34

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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.