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Finding the Fourth Proportional to 11,447.23, 15,797.33 and 7,466.06

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Solution

The fourth proportional to 11,447.23, 15,797.33 and 7,466.06 is: 10,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.23 : 15,797.33 = 7,466.06 : x
  2. Step 2: Convert to fraction form
    11,447.23/15,797.33 = 7,466.06/x
  3. Step 3: Cross multiply
    11,447.23x = 15,797.33 × 7,466.06
  4. Step 4: Simplify right side
    11,447.23x = 117,943,796.92
  5. Step 5: Solve for x
    x = 117,943,796.92/11,447.23
  6. Step 6: Final answer
    x = 10,303.26

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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.