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Finding the Fourth Proportional to 7,345.44, 10,140.18 and 4,201.02

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Solution

The fourth proportional to 7,345.44, 10,140.18 and 4,201.02 is: 5,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.44 : 10,140.18 = 4,201.02 : x
  2. Step 2: Convert to fraction form
    7,345.44/10,140.18 = 4,201.02/x
  3. Step 3: Cross multiply
    7,345.44x = 10,140.18 × 4,201.02
  4. Step 4: Simplify right side
    7,345.44x = 42,599,098.98
  5. Step 5: Solve for x
    x = 42,599,098.98/7,345.44
  6. Step 6: Final answer
    x = 5,799.39

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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.