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Finding the Fourth Proportional to 10,715.22, 16,071.02 and 2,922.22

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Solution

The fourth proportional to 10,715.22, 16,071.02 and 2,922.22 is: 4,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.22 : 16,071.02 = 2,922.22 : x
  2. Step 2: Convert to fraction form
    10,715.22/16,071.02 = 2,922.22/x
  3. Step 3: Cross multiply
    10,715.22x = 16,071.02 × 2,922.22
  4. Step 4: Simplify right side
    10,715.22x = 46,963,056.06
  5. Step 5: Solve for x
    x = 46,963,056.06/10,715.22
  6. Step 6: Final answer
    x = 4,382.84

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Why These Related Problems?

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