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Finding the Fourth Proportional to 8,902.50, 12,277.32 and 7,643.15

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Solution

The fourth proportional to 8,902.50, 12,277.32 and 7,643.15 is: 10,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.50 : 12,277.32 = 7,643.15 : x
  2. Step 2: Convert to fraction form
    8,902.50/12,277.32 = 7,643.15/x
  3. Step 3: Cross multiply
    8,902.50x = 12,277.32 × 7,643.15
  4. Step 4: Simplify right side
    8,902.50x = 93,837,429.05
  5. Step 5: Solve for x
    x = 93,837,429.05/8,902.50
  6. Step 6: Final answer
    x = 10,540.57

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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.