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Finding the Fourth Proportional to 7,345.69, 10,137.06 and 4,201.94

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Solution

The fourth proportional to 7,345.69, 10,137.06 and 4,201.94 is: 5,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.69 : 10,137.06 = 4,201.94 : x
  2. Step 2: Convert to fraction form
    7,345.69/10,137.06 = 4,201.94/x
  3. Step 3: Cross multiply
    7,345.69x = 10,137.06 × 4,201.94
  4. Step 4: Simplify right side
    7,345.69x = 42,595,343.24
  5. Step 5: Solve for x
    x = 42,595,343.24/7,345.69
  6. Step 6: Final answer
    x = 5,798.69

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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.