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Finding the Fourth Proportional to 11,464.44, 15,824.32 and 7,486.18

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Solution

The fourth proportional to 11,464.44, 15,824.32 and 7,486.18 is: 10,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.44 : 15,824.32 = 7,486.18 : x
  2. Step 2: Convert to fraction form
    11,464.44/15,824.32 = 7,486.18/x
  3. Step 3: Cross multiply
    11,464.44x = 15,824.32 × 7,486.18
  4. Step 4: Simplify right side
    11,464.44x = 118,463,707.90
  5. Step 5: Solve for x
    x = 118,463,707.90/11,464.44
  6. Step 6: Final answer
    x = 10,333.14

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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.