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Finding the Fourth Proportional to 11,418.39, 15,762.23 and 6,943.58

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Solution

The fourth proportional to 11,418.39, 15,762.23 and 6,943.58 is: 9,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418.39 : 15,762.23 = 6,943.58 : x
  2. Step 2: Convert to fraction form
    11,418.39/15,762.23 = 6,943.58/x
  3. Step 3: Cross multiply
    11,418.39x = 15,762.23 × 6,943.58
  4. Step 4: Simplify right side
    11,418.39x = 109,446,276.60
  5. Step 5: Solve for x
    x = 109,446,276.60/11,418.39
  6. Step 6: Final answer
    x = 9,585.09

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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.