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Finding the Fourth Proportional to 10,343.36, 15,509.36 and 4,793.64

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Solution

The fourth proportional to 10,343.36, 15,509.36 and 4,793.64 is: 7,187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.36 : 15,509.36 = 4,793.64 : x
  2. Step 2: Convert to fraction form
    10,343.36/15,509.36 = 4,793.64/x
  3. Step 3: Cross multiply
    10,343.36x = 15,509.36 × 4,793.64
  4. Step 4: Simplify right side
    10,343.36x = 74,346,264.50
  5. Step 5: Solve for x
    x = 74,346,264.50/10,343.36
  6. Step 6: Final answer
    x = 7,187.83

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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.