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Finding the Fourth Proportional to 11,671.02, 16,106.31 and 6,365.93

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Solution

The fourth proportional to 11,671.02, 16,106.31 and 6,365.93 is: 8,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.02 : 16,106.31 = 6,365.93 : x
  2. Step 2: Convert to fraction form
    11,671.02/16,106.31 = 6,365.93/x
  3. Step 3: Cross multiply
    11,671.02x = 16,106.31 × 6,365.93
  4. Step 4: Simplify right side
    11,671.02x = 102,531,561.49
  5. Step 5: Solve for x
    x = 102,531,561.49/11,671.02
  6. Step 6: Final answer
    x = 8,785.14

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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.