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Finding the Fourth Proportional to 11,264.75, 16,897.16 and 3,056.75

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Solution

The fourth proportional to 11,264.75, 16,897.16 and 3,056.75 is: 4,585.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.75 : 16,897.16 = 3,056.75 : x
  2. Step 2: Convert to fraction form
    11,264.75/16,897.16 = 3,056.75/x
  3. Step 3: Cross multiply
    11,264.75x = 16,897.16 × 3,056.75
  4. Step 4: Simplify right side
    11,264.75x = 51,650,378.55
  5. Step 5: Solve for x
    x = 51,650,378.55/11,264.75
  6. Step 6: Final answer
    x = 4,585.13

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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.