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Finding the Fourth Proportional to 8,271, 11,413.98 and 4,545

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Solution

The fourth proportional to 8,271, 11,413.98 and 4,545 is: 6,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271 : 11,413.98 = 4,545 : x
  2. Step 2: Convert to fraction form
    8,271/11,413.98 = 4,545/x
  3. Step 3: Cross multiply
    8,271x = 11,413.98 × 4,545
  4. Step 4: Simplify right side
    8,271x = 51,876,539.10
  5. Step 5: Solve for x
    x = 51,876,539.10/8,271
  6. Step 6: Final answer
    x = 6,272.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.