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Finding the Fourth Proportional to 11,477.46, 15,836.96 and 6,762.68

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Solution

The fourth proportional to 11,477.46, 15,836.96 and 6,762.68 is: 9,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.46 : 15,836.96 = 6,762.68 : x
  2. Step 2: Convert to fraction form
    11,477.46/15,836.96 = 6,762.68/x
  3. Step 3: Cross multiply
    11,477.46x = 15,836.96 × 6,762.68
  4. Step 4: Simplify right side
    11,477.46x = 107,100,292.65
  5. Step 5: Solve for x
    x = 107,100,292.65/11,477.46
  6. Step 6: Final answer
    x = 9,331.36

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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.