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Finding the Fourth Proportional to 11,284.84, 15,563.41 and 6,807.61

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Solution

The fourth proportional to 11,284.84, 15,563.41 and 6,807.61 is: 9,388.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,284.84 : 15,563.41 = 6,807.61 : x
  2. Step 2: Convert to fraction form
    11,284.84/15,563.41 = 6,807.61/x
  3. Step 3: Cross multiply
    11,284.84x = 15,563.41 × 6,807.61
  4. Step 4: Simplify right side
    11,284.84x = 105,949,625.55
  5. Step 5: Solve for x
    x = 105,949,625.55/11,284.84
  6. Step 6: Final answer
    x = 9,388.67

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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.