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Finding the Fourth Proportional to 7,397.05, 11,089.10 and 2,783.29

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Solution

The fourth proportional to 7,397.05, 11,089.10 and 2,783.29 is: 4,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.05 : 11,089.10 = 2,783.29 : x
  2. Step 2: Convert to fraction form
    7,397.05/11,089.10 = 2,783.29/x
  3. Step 3: Cross multiply
    7,397.05x = 11,089.10 × 2,783.29
  4. Step 4: Simplify right side
    7,397.05x = 30,864,181.14
  5. Step 5: Solve for x
    x = 30,864,181.14/7,397.05
  6. Step 6: Final answer
    x = 4,172.50

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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.