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Finding the Fourth Proportional to 11,766.47, 16,239.43 and 7,051.19

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Solution

The fourth proportional to 11,766.47, 16,239.43 and 7,051.19 is: 9,731.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.47 : 16,239.43 = 7,051.19 : x
  2. Step 2: Convert to fraction form
    11,766.47/16,239.43 = 7,051.19/x
  3. Step 3: Cross multiply
    11,766.47x = 16,239.43 × 7,051.19
  4. Step 4: Simplify right side
    11,766.47x = 114,507,355.83
  5. Step 5: Solve for x
    x = 114,507,355.83/11,766.47
  6. Step 6: Final answer
    x = 9,731.66

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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.