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Finding the Fourth Proportional to 11,076.16, 15,283.74 and 9,404.32

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Solution

The fourth proportional to 11,076.16, 15,283.74 and 9,404.32 is: 12,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076.16 : 15,283.74 = 9,404.32 : x
  2. Step 2: Convert to fraction form
    11,076.16/15,283.74 = 9,404.32/x
  3. Step 3: Cross multiply
    11,076.16x = 15,283.74 × 9,404.32
  4. Step 4: Simplify right side
    11,076.16x = 143,733,181.76
  5. Step 5: Solve for x
    x = 143,733,181.76/11,076.16
  6. Step 6: Final answer
    x = 12,976.81

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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.