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Finding the Fourth Proportional to 8,116.72, 12,153.32 and 5,646.32

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Solution

The fourth proportional to 8,116.72, 12,153.32 and 5,646.32 is: 8,454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.72 : 12,153.32 = 5,646.32 : x
  2. Step 2: Convert to fraction form
    8,116.72/12,153.32 = 5,646.32/x
  3. Step 3: Cross multiply
    8,116.72x = 12,153.32 × 5,646.32
  4. Step 4: Simplify right side
    8,116.72x = 68,621,533.78
  5. Step 5: Solve for x
    x = 68,621,533.78/8,116.72
  6. Step 6: Final answer
    x = 8,454.34

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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.