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Finding the Fourth Proportional to 11,094.44, 15,292.06 and 7,865.32

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Solution

The fourth proportional to 11,094.44, 15,292.06 and 7,865.32 is: 10,841.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,094.44 : 15,292.06 = 7,865.32 : x
  2. Step 2: Convert to fraction form
    11,094.44/15,292.06 = 7,865.32/x
  3. Step 3: Cross multiply
    11,094.44x = 15,292.06 × 7,865.32
  4. Step 4: Simplify right side
    11,094.44x = 120,276,916.14
  5. Step 5: Solve for x
    x = 120,276,916.14/11,094.44
  6. Step 6: Final answer
    x = 10,841.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.