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Finding the Fourth Proportional to 11,102.88, 15,324.48 and 7,567.52

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Solution

The fourth proportional to 11,102.88, 15,324.48 and 7,567.52 is: 10,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.88 : 15,324.48 = 7,567.52 : x
  2. Step 2: Convert to fraction form
    11,102.88/15,324.48 = 7,567.52/x
  3. Step 3: Cross multiply
    11,102.88x = 15,324.48 × 7,567.52
  4. Step 4: Simplify right side
    11,102.88x = 115,968,308.89
  5. Step 5: Solve for x
    x = 115,968,308.89/11,102.88
  6. Step 6: Final answer
    x = 10,444.89

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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.