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Finding the Fourth Proportional to 7,688.32, 11,525.84 and 3,068.32

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Solution

The fourth proportional to 7,688.32, 11,525.84 and 3,068.32 is: 4,599.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.32 : 11,525.84 = 3,068.32 : x
  2. Step 2: Convert to fraction form
    7,688.32/11,525.84 = 3,068.32/x
  3. Step 3: Cross multiply
    7,688.32x = 11,525.84 × 3,068.32
  4. Step 4: Simplify right side
    7,688.32x = 35,364,965.39
  5. Step 5: Solve for x
    x = 35,364,965.39/7,688.32
  6. Step 6: Final answer
    x = 4,599.83

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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.