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Finding the Fourth Proportional to 8,257, 11,395.14 and 4,721.32

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Solution

The fourth proportional to 8,257, 11,395.14 and 4,721.32 is: 6,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257 : 11,395.14 = 4,721.32 : x
  2. Step 2: Convert to fraction form
    8,257/11,395.14 = 4,721.32/x
  3. Step 3: Cross multiply
    8,257x = 11,395.14 × 4,721.32
  4. Step 4: Simplify right side
    8,257x = 53,800,102.38
  5. Step 5: Solve for x
    x = 53,800,102.38/8,257
  6. Step 6: Final answer
    x = 6,515.70

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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.