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Finding the Fourth Proportional to 11,448.23, 15,798.72 and 7,467.06

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Solution

The fourth proportional to 11,448.23, 15,798.72 and 7,467.06 is: 10,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.23 : 15,798.72 = 7,467.06 : x
  2. Step 2: Convert to fraction form
    11,448.23/15,798.72 = 7,467.06/x
  3. Step 3: Cross multiply
    11,448.23x = 15,798.72 × 7,467.06
  4. Step 4: Simplify right side
    11,448.23x = 117,969,873.83
  5. Step 5: Solve for x
    x = 117,969,873.83/11,448.23
  6. Step 6: Final answer
    x = 10,304.64

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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.