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Finding the Fourth Proportional to 10,824.65, 16,224.25 and 4,894.64

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Solution

The fourth proportional to 10,824.65, 16,224.25 and 4,894.64 is: 7,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.65 : 16,224.25 = 4,894.64 : x
  2. Step 2: Convert to fraction form
    10,824.65/16,224.25 = 4,894.64/x
  3. Step 3: Cross multiply
    10,824.65x = 16,224.25 × 4,894.64
  4. Step 4: Simplify right side
    10,824.65x = 79,411,863.02
  5. Step 5: Solve for x
    x = 79,411,863.02/10,824.65
  6. Step 6: Final answer
    x = 7,336.21

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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.