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Finding the Fourth Proportional to 11,712.93, 16,162.90 and 6,407.70

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Solution

The fourth proportional to 11,712.93, 16,162.90 and 6,407.70 is: 8,842.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.93 : 16,162.90 = 6,407.70 : x
  2. Step 2: Convert to fraction form
    11,712.93/16,162.90 = 6,407.70/x
  3. Step 3: Cross multiply
    11,712.93x = 16,162.90 × 6,407.70
  4. Step 4: Simplify right side
    11,712.93x = 103,567,014.33
  5. Step 5: Solve for x
    x = 103,567,014.33/11,712.93
  6. Step 6: Final answer
    x = 8,842.11

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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.