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Finding the Fourth Proportional to 7,345.41, 10,138.04 and 4,201.59

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Solution

The fourth proportional to 7,345.41, 10,138.04 and 4,201.59 is: 5,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.41 : 10,138.04 = 4,201.59 : x
  2. Step 2: Convert to fraction form
    7,345.41/10,138.04 = 4,201.59/x
  3. Step 3: Cross multiply
    7,345.41x = 10,138.04 × 4,201.59
  4. Step 4: Simplify right side
    7,345.41x = 42,595,866.48
  5. Step 5: Solve for x
    x = 42,595,866.48/7,345.41
  6. Step 6: Final answer
    x = 5,798.98

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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.