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Finding the Fourth Proportional to 10,698.25, 14,762.45 and 5,917.44

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Solution

The fourth proportional to 10,698.25, 14,762.45 and 5,917.44 is: 8,165.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.25 : 14,762.45 = 5,917.44 : x
  2. Step 2: Convert to fraction form
    10,698.25/14,762.45 = 5,917.44/x
  3. Step 3: Cross multiply
    10,698.25x = 14,762.45 × 5,917.44
  4. Step 4: Simplify right side
    10,698.25x = 87,355,912.13
  5. Step 5: Solve for x
    x = 87,355,912.13/10,698.25
  6. Step 6: Final answer
    x = 8,165.44

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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.