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Finding the Fourth Proportional to 11,914, 17,875.32 and 5,762.32

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Solution

The fourth proportional to 11,914, 17,875.32 and 5,762.32 is: 8,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914 : 17,875.32 = 5,762.32 : x
  2. Step 2: Convert to fraction form
    11,914/17,875.32 = 5,762.32/x
  3. Step 3: Cross multiply
    11,914x = 17,875.32 × 5,762.32
  4. Step 4: Simplify right side
    11,914x = 103,003,313.94
  5. Step 5: Solve for x
    x = 103,003,313.94/11,914
  6. Step 6: Final answer
    x = 8,645.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.