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Finding the Fourth Proportional to 10,094.54, 15,119.92 and 4,889.50

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Solution

The fourth proportional to 10,094.54, 15,119.92 and 4,889.50 is: 7,323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.54 : 15,119.92 = 4,889.50 : x
  2. Step 2: Convert to fraction form
    10,094.54/15,119.92 = 4,889.50/x
  3. Step 3: Cross multiply
    10,094.54x = 15,119.92 × 4,889.50
  4. Step 4: Simplify right side
    10,094.54x = 73,928,848.84
  5. Step 5: Solve for x
    x = 73,928,848.84/10,094.54
  6. Step 6: Final answer
    x = 7,323.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.