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Finding the Fourth Proportional to 8,258, 11,396.04 and 4,946

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Solution

The fourth proportional to 8,258, 11,396.04 and 4,946 is: 6,825.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258 : 11,396.04 = 4,946 : x
  2. Step 2: Convert to fraction form
    8,258/11,396.04 = 4,946/x
  3. Step 3: Cross multiply
    8,258x = 11,396.04 × 4,946
  4. Step 4: Simplify right side
    8,258x = 56,364,813.84
  5. Step 5: Solve for x
    x = 56,364,813.84/8,258
  6. Step 6: Final answer
    x = 6,825.48

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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.