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Finding the Fourth Proportional to 11,280.96, 16,922.88 and 4,356

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Solution

The fourth proportional to 11,280.96, 16,922.88 and 4,356 is: 6,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.96 : 16,922.88 = 4,356 : x
  2. Step 2: Convert to fraction form
    11,280.96/16,922.88 = 4,356/x
  3. Step 3: Cross multiply
    11,280.96x = 16,922.88 × 4,356
  4. Step 4: Simplify right side
    11,280.96x = 73,716,065.28
  5. Step 5: Solve for x
    x = 73,716,065.28/11,280.96
  6. Step 6: Final answer
    x = 6,534.56

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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.