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Finding the Fourth Proportional to 8,152.56, 12,237.96 and 7,617.24

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Solution

The fourth proportional to 8,152.56, 12,237.96 and 7,617.24 is: 11,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.56 : 12,237.96 = 7,617.24 : x
  2. Step 2: Convert to fraction form
    8,152.56/12,237.96 = 7,617.24/x
  3. Step 3: Cross multiply
    8,152.56x = 12,237.96 × 7,617.24
  4. Step 4: Simplify right side
    8,152.56x = 93,219,478.43
  5. Step 5: Solve for x
    x = 93,219,478.43/8,152.56
  6. Step 6: Final answer
    x = 11,434.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.