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Finding the Fourth Proportional to 11,686.42, 16,128.41 and 6,907.94

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Solution

The fourth proportional to 11,686.42, 16,128.41 and 6,907.94 is: 9,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.42 : 16,128.41 = 6,907.94 : x
  2. Step 2: Convert to fraction form
    11,686.42/16,128.41 = 6,907.94/x
  3. Step 3: Cross multiply
    11,686.42x = 16,128.41 × 6,907.94
  4. Step 4: Simplify right side
    11,686.42x = 111,413,973.39
  5. Step 5: Solve for x
    x = 111,413,973.39/11,686.42
  6. Step 6: Final answer
    x = 9,533.63

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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.