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Finding the Fourth Proportional to 10,600.62, 15,905.52 and 5,054.01

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Solution

The fourth proportional to 10,600.62, 15,905.52 and 5,054.01 is: 7,583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.62 : 15,905.52 = 5,054.01 : x
  2. Step 2: Convert to fraction form
    10,600.62/15,905.52 = 5,054.01/x
  3. Step 3: Cross multiply
    10,600.62x = 15,905.52 × 5,054.01
  4. Step 4: Simplify right side
    10,600.62x = 80,386,657.14
  5. Step 5: Solve for x
    x = 80,386,657.14/10,600.62
  6. Step 6: Final answer
    x = 7,583.20

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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.