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Finding the Fourth Proportional to 11,001.64, 15,181.14 and 7,469.50

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Solution

The fourth proportional to 11,001.64, 15,181.14 and 7,469.50 is: 10,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,001.64 : 15,181.14 = 7,469.50 : x
  2. Step 2: Convert to fraction form
    11,001.64/15,181.14 = 7,469.50/x
  3. Step 3: Cross multiply
    11,001.64x = 15,181.14 × 7,469.50
  4. Step 4: Simplify right side
    11,001.64x = 113,395,525.23
  5. Step 5: Solve for x
    x = 113,395,525.23/11,001.64
  6. Step 6: Final answer
    x = 10,307.15

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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.