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Finding the Fourth Proportional to 7,042.08, 10,564.32 and 2,424

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Solution

The fourth proportional to 7,042.08, 10,564.32 and 2,424 is: 3,636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.08 : 10,564.32 = 2,424 : x
  2. Step 2: Convert to fraction form
    7,042.08/10,564.32 = 2,424/x
  3. Step 3: Cross multiply
    7,042.08x = 10,564.32 × 2,424
  4. Step 4: Simplify right side
    7,042.08x = 25,607,911.68
  5. Step 5: Solve for x
    x = 25,607,911.68/7,042.08
  6. Step 6: Final answer
    x = 3,636.41

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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.