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Finding the Fourth Proportional to 10,795.32, 14,894.44 and 6,817.72

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Solution

The fourth proportional to 10,795.32, 14,894.44 and 6,817.72 is: 9,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.32 : 14,894.44 = 6,817.72 : x
  2. Step 2: Convert to fraction form
    10,795.32/14,894.44 = 6,817.72/x
  3. Step 3: Cross multiply
    10,795.32x = 14,894.44 × 6,817.72
  4. Step 4: Simplify right side
    10,795.32x = 101,546,121.48
  5. Step 5: Solve for x
    x = 101,546,121.48/10,795.32
  6. Step 6: Final answer
    x = 9,406.49

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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.