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Finding the Fourth Proportional to 8,155.89, 12,232.14 and 5,153.01

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Solution

The fourth proportional to 8,155.89, 12,232.14 and 5,153.01 is: 7,728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.89 : 12,232.14 = 5,153.01 : x
  2. Step 2: Convert to fraction form
    8,155.89/12,232.14 = 5,153.01/x
  3. Step 3: Cross multiply
    8,155.89x = 12,232.14 × 5,153.01
  4. Step 4: Simplify right side
    8,155.89x = 63,032,339.74
  5. Step 5: Solve for x
    x = 63,032,339.74/8,155.89
  6. Step 6: Final answer
    x = 7,728.44

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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.