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Finding the Fourth Proportional to 23,792, 35,688 and 7,376

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Solution

The fourth proportional to 23,792, 35,688 and 7,376 is: 11,064

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792 : 35,688 = 7,376 : x
  2. Step 2: Convert to fraction form
    23,792/35,688 = 7,376/x
  3. Step 3: Cross multiply
    23,792x = 35,688 × 7,376
  4. Step 4: Simplify right side
    23,792x = 263,234,688
  5. Step 5: Solve for x
    x = 263,234,688/23,792
  6. Step 6: Final answer
    x = 11,064

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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.