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Finding the Fourth Proportional to 11,096.54, 15,317.48 and 6,848.30

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Solution

The fourth proportional to 11,096.54, 15,317.48 and 6,848.30 is: 9,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.54 : 15,317.48 = 6,848.30 : x
  2. Step 2: Convert to fraction form
    11,096.54/15,317.48 = 6,848.30/x
  3. Step 3: Cross multiply
    11,096.54x = 15,317.48 × 6,848.30
  4. Step 4: Simplify right side
    11,096.54x = 104,898,648.28
  5. Step 5: Solve for x
    x = 104,898,648.28/11,096.54
  6. Step 6: Final answer
    x = 9,453.27

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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.