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Finding the Fourth Proportional to 11,314.95, 16,966.20 and 6,056.13

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Solution

The fourth proportional to 11,314.95, 16,966.20 and 6,056.13 is: 9,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.95 : 16,966.20 = 6,056.13 : x
  2. Step 2: Convert to fraction form
    11,314.95/16,966.20 = 6,056.13/x
  3. Step 3: Cross multiply
    11,314.95x = 16,966.20 × 6,056.13
  4. Step 4: Simplify right side
    11,314.95x = 102,749,512.81
  5. Step 5: Solve for x
    x = 102,749,512.81/11,314.95
  6. Step 6: Final answer
    x = 9,080.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.