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Finding the Fourth Proportional to 11,477.52, 15,836.40 and 6,762.24

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Solution

The fourth proportional to 11,477.52, 15,836.40 and 6,762.24 is: 9,330.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.52 : 15,836.40 = 6,762.24 : x
  2. Step 2: Convert to fraction form
    11,477.52/15,836.40 = 6,762.24/x
  3. Step 3: Cross multiply
    11,477.52x = 15,836.40 × 6,762.24
  4. Step 4: Simplify right side
    11,477.52x = 107,089,537.54
  5. Step 5: Solve for x
    x = 107,089,537.54/11,477.52
  6. Step 6: Final answer
    x = 9,330.37

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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.