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Finding the Fourth Proportional to 10,706.24, 14,788.73 and 8,219.09

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Solution

The fourth proportional to 10,706.24, 14,788.73 and 8,219.09 is: 11,353.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.24 : 14,788.73 = 8,219.09 : x
  2. Step 2: Convert to fraction form
    10,706.24/14,788.73 = 8,219.09/x
  3. Step 3: Cross multiply
    10,706.24x = 14,788.73 × 8,219.09
  4. Step 4: Simplify right side
    10,706.24x = 121,549,902.86
  5. Step 5: Solve for x
    x = 121,549,902.86/10,706.24
  6. Step 6: Final answer
    x = 11,353.18

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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.