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Finding the Fourth Proportional to 11,114.33, 15,342.01 and 7,582.32

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Solution

The fourth proportional to 11,114.33, 15,342.01 and 7,582.32 is: 10,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.33 : 15,342.01 = 7,582.32 : x
  2. Step 2: Convert to fraction form
    11,114.33/15,342.01 = 7,582.32/x
  3. Step 3: Cross multiply
    11,114.33x = 15,342.01 × 7,582.32
  4. Step 4: Simplify right side
    11,114.33x = 116,328,010.31
  5. Step 5: Solve for x
    x = 116,328,010.31/11,114.33
  6. Step 6: Final answer
    x = 10,466.49

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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.