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Finding the Fourth Proportional to 11,464.70, 15,824.66 and 7,486.43

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Solution

The fourth proportional to 11,464.70, 15,824.66 and 7,486.43 is: 10,333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.70 : 15,824.66 = 7,486.43 : x
  2. Step 2: Convert to fraction form
    11,464.70/15,824.66 = 7,486.43/x
  3. Step 3: Cross multiply
    11,464.70x = 15,824.66 × 7,486.43
  4. Step 4: Simplify right side
    11,464.70x = 118,470,092.81
  5. Step 5: Solve for x
    x = 118,470,092.81/11,464.70
  6. Step 6: Final answer
    x = 10,333.47

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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.