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Finding the Fourth Proportional to 15,792, 23,680.07 and 5,258.30

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Solution

The fourth proportional to 15,792, 23,680.07 and 5,258.30 is: 7,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792 : 23,680.07 = 5,258.30 : x
  2. Step 2: Convert to fraction form
    15,792/23,680.07 = 5,258.30/x
  3. Step 3: Cross multiply
    15,792x = 23,680.07 × 5,258.30
  4. Step 4: Simplify right side
    15,792x = 124,516,767.39
  5. Step 5: Solve for x
    x = 124,516,767.39/15,792
  6. Step 6: Final answer
    x = 7,884.80

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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.