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Finding the Fourth Proportional to 11,422, 15,762.36 and 6,454

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Solution

The fourth proportional to 11,422, 15,762.36 and 6,454 is: 8,906.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422 : 15,762.36 = 6,454 : x
  2. Step 2: Convert to fraction form
    11,422/15,762.36 = 6,454/x
  3. Step 3: Cross multiply
    11,422x = 15,762.36 × 6,454
  4. Step 4: Simplify right side
    11,422x = 101,730,271.44
  5. Step 5: Solve for x
    x = 101,730,271.44/11,422
  6. Step 6: Final answer
    x = 8,906.52

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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.