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Finding the Fourth Proportional to 10,794.75, 14,893.11 and 6,544.68

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Solution

The fourth proportional to 10,794.75, 14,893.11 and 6,544.68 is: 9,029.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.75 : 14,893.11 = 6,544.68 : x
  2. Step 2: Convert to fraction form
    10,794.75/14,893.11 = 6,544.68/x
  3. Step 3: Cross multiply
    10,794.75x = 14,893.11 × 6,544.68
  4. Step 4: Simplify right side
    10,794.75x = 97,470,639.15
  5. Step 5: Solve for x
    x = 97,470,639.15/10,794.75
  6. Step 6: Final answer
    x = 9,029.45

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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.