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Finding the Fourth Proportional to 7,705.12, 10,633.04 and 4,168.32

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Solution

The fourth proportional to 7,705.12, 10,633.04 and 4,168.32 is: 5,752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.12 : 10,633.04 = 4,168.32 : x
  2. Step 2: Convert to fraction form
    7,705.12/10,633.04 = 4,168.32/x
  3. Step 3: Cross multiply
    7,705.12x = 10,633.04 × 4,168.32
  4. Step 4: Simplify right side
    7,705.12x = 44,321,913.29
  5. Step 5: Solve for x
    x = 44,321,913.29/7,705.12
  6. Step 6: Final answer
    x = 5,752.27

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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.