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Finding the Fourth Proportional to 8,293, 11,454.06 and 5,493.64

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Solution

The fourth proportional to 8,293, 11,454.06 and 5,493.64 is: 7,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293 : 11,454.06 = 5,493.64 : x
  2. Step 2: Convert to fraction form
    8,293/11,454.06 = 5,493.64/x
  3. Step 3: Cross multiply
    8,293x = 11,454.06 × 5,493.64
  4. Step 4: Simplify right side
    8,293x = 62,924,482.18
  5. Step 5: Solve for x
    x = 62,924,482.18/8,293
  6. Step 6: Final answer
    x = 7,587.66

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