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Finding the Fourth Proportional to 10,904.04, 16,343.28 and 5,048.64

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Solution

The fourth proportional to 10,904.04, 16,343.28 and 5,048.64 is: 7,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.04 : 16,343.28 = 5,048.64 : x
  2. Step 2: Convert to fraction form
    10,904.04/16,343.28 = 5,048.64/x
  3. Step 3: Cross multiply
    10,904.04x = 16,343.28 × 5,048.64
  4. Step 4: Simplify right side
    10,904.04x = 82,511,337.14
  5. Step 5: Solve for x
    x = 82,511,337.14/10,904.04
  6. Step 6: Final answer
    x = 7,567.04

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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.