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Finding the Fourth Proportional to 11,620.16, 16,035.65 and 6,314.99

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Solution

The fourth proportional to 11,620.16, 16,035.65 and 6,314.99 is: 8,714.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,620.16 : 16,035.65 = 6,314.99 : x
  2. Step 2: Convert to fraction form
    11,620.16/16,035.65 = 6,314.99/x
  3. Step 3: Cross multiply
    11,620.16x = 16,035.65 × 6,314.99
  4. Step 4: Simplify right side
    11,620.16x = 101,264,969.39
  5. Step 5: Solve for x
    x = 101,264,969.39/11,620.16
  6. Step 6: Final answer
    x = 8,714.60

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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.