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Finding the Fourth Proportional to 10,762.69, 14,852.68 and 5,917.62

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Solution

The fourth proportional to 10,762.69, 14,852.68 and 5,917.62 is: 8,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,762.69 : 14,852.68 = 5,917.62 : x
  2. Step 2: Convert to fraction form
    10,762.69/14,852.68 = 5,917.62/x
  3. Step 3: Cross multiply
    10,762.69x = 14,852.68 × 5,917.62
  4. Step 4: Simplify right side
    10,762.69x = 87,892,512.41
  5. Step 5: Solve for x
    x = 87,892,512.41/10,762.69
  6. Step 6: Final answer
    x = 8,166.41

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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.