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Finding the Fourth Proportional to 23,937, 35,911.26 and 7,521

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Solution

The fourth proportional to 23,937, 35,911.26 and 7,521 is: 11,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,937 : 35,911.26 = 7,521 : x
  2. Step 2: Convert to fraction form
    23,937/35,911.26 = 7,521/x
  3. Step 3: Cross multiply
    23,937x = 35,911.26 × 7,521
  4. Step 4: Simplify right side
    23,937x = 270,088,586.46
  5. Step 5: Solve for x
    x = 270,088,586.46/23,937
  6. Step 6: Final answer
    x = 11,283.31

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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.