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Finding the Fourth Proportional to 8,292.35, 11,458.01 and 6,627.50

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Solution

The fourth proportional to 8,292.35, 11,458.01 and 6,627.50 is: 9,157.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.35 : 11,458.01 = 6,627.50 : x
  2. Step 2: Convert to fraction form
    8,292.35/11,458.01 = 6,627.50/x
  3. Step 3: Cross multiply
    8,292.35x = 11,458.01 × 6,627.50
  4. Step 4: Simplify right side
    8,292.35x = 75,937,961.28
  5. Step 5: Solve for x
    x = 75,937,961.28/8,292.35
  6. Step 6: Final answer
    x = 9,157.59

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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.