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Finding the Fourth Proportional to 11,486.86, 15,840.20 and 10,817.16

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Solution

The fourth proportional to 11,486.86, 15,840.20 and 10,817.16 is: 14,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.86 : 15,840.20 = 10,817.16 : x
  2. Step 2: Convert to fraction form
    11,486.86/15,840.20 = 10,817.16/x
  3. Step 3: Cross multiply
    11,486.86x = 15,840.20 × 10,817.16
  4. Step 4: Simplify right side
    11,486.86x = 171,345,977.83
  5. Step 5: Solve for x
    x = 171,345,977.83/11,486.86
  6. Step 6: Final answer
    x = 14,916.69

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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.