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Finding the Fourth Proportional to 11,467.58, 15,828.62 and 7,489.31

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Solution

The fourth proportional to 11,467.58, 15,828.62 and 7,489.31 is: 10,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.58 : 15,828.62 = 7,489.31 : x
  2. Step 2: Convert to fraction form
    11,467.58/15,828.62 = 7,489.31/x
  3. Step 3: Cross multiply
    11,467.58x = 15,828.62 × 7,489.31
  4. Step 4: Simplify right side
    11,467.58x = 118,545,442.05
  5. Step 5: Solve for x
    x = 118,545,442.05/11,467.58
  6. Step 6: Final answer
    x = 10,337.44

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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.