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Finding the Fourth Proportional to 19,248, 28,876.86 and 5,397

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Solution

The fourth proportional to 19,248, 28,876.86 and 5,397 is: 8,096.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,248 : 28,876.86 = 5,397 : x
  2. Step 2: Convert to fraction form
    19,248/28,876.86 = 5,397/x
  3. Step 3: Cross multiply
    19,248x = 28,876.86 × 5,397
  4. Step 4: Simplify right side
    19,248x = 155,848,413.42
  5. Step 5: Solve for x
    x = 155,848,413.42/19,248
  6. Step 6: Final answer
    x = 8,096.86

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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.