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Finding the Fourth Proportional to 11,712.09, 16,162.74 and 6,407.00

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Solution

The fourth proportional to 11,712.09, 16,162.74 and 6,407.00 is: 8,841.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.09 : 16,162.74 = 6,407.00 : x
  2. Step 2: Convert to fraction form
    11,712.09/16,162.74 = 6,407.00/x
  3. Step 3: Cross multiply
    11,712.09x = 16,162.74 × 6,407.00
  4. Step 4: Simplify right side
    11,712.09x = 103,554,654.98
  5. Step 5: Solve for x
    x = 103,554,654.98/11,712.09
  6. Step 6: Final answer
    x = 8,841.69

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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.