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Finding the Fourth Proportional to 10,763.88, 14,853.74 and 5,984.11

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Solution

The fourth proportional to 10,763.88, 14,853.74 and 5,984.11 is: 8,257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.88 : 14,853.74 = 5,984.11 : x
  2. Step 2: Convert to fraction form
    10,763.88/14,853.74 = 5,984.11/x
  3. Step 3: Cross multiply
    10,763.88x = 14,853.74 × 5,984.11
  4. Step 4: Simplify right side
    10,763.88x = 88,886,414.07
  5. Step 5: Solve for x
    x = 88,886,414.07/10,763.88
  6. Step 6: Final answer
    x = 8,257.84

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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.