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Finding the Fourth Proportional to 7,657.44, 11,476.32 and 3,762.96

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Solution

The fourth proportional to 7,657.44, 11,476.32 and 3,762.96 is: 5,639.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.44 : 11,476.32 = 3,762.96 : x
  2. Step 2: Convert to fraction form
    7,657.44/11,476.32 = 3,762.96/x
  3. Step 3: Cross multiply
    7,657.44x = 11,476.32 × 3,762.96
  4. Step 4: Simplify right side
    7,657.44x = 43,184,933.11
  5. Step 5: Solve for x
    x = 43,184,933.11/7,657.44
  6. Step 6: Final answer
    x = 5,639.60

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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.