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Finding the Fourth Proportional to 8,895.32, 12,266.31 and 7,640.50

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Solution

The fourth proportional to 8,895.32, 12,266.31 and 7,640.50 is: 10,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,895.32 : 12,266.31 = 7,640.50 : x
  2. Step 2: Convert to fraction form
    8,895.32/12,266.31 = 7,640.50/x
  3. Step 3: Cross multiply
    8,895.32x = 12,266.31 × 7,640.50
  4. Step 4: Simplify right side
    8,895.32x = 93,720,741.56
  5. Step 5: Solve for x
    x = 93,720,741.56/8,895.32
  6. Step 6: Final answer
    x = 10,535.96

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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.