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Finding the Fourth Proportional to 10,316.84, 15,467.02 and 4,469.38

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Solution

The fourth proportional to 10,316.84, 15,467.02 and 4,469.38 is: 6,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.84 : 15,467.02 = 4,469.38 : x
  2. Step 2: Convert to fraction form
    10,316.84/15,467.02 = 4,469.38/x
  3. Step 3: Cross multiply
    10,316.84x = 15,467.02 × 4,469.38
  4. Step 4: Simplify right side
    10,316.84x = 69,127,940.01
  5. Step 5: Solve for x
    x = 69,127,940.01/10,316.84
  6. Step 6: Final answer
    x = 6,700.50

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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.