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Finding the Fourth Proportional to 6,899.09, 10,345.62 and 1,967.63

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Solution

The fourth proportional to 6,899.09, 10,345.62 and 1,967.63 is: 2,950.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,899.09 : 10,345.62 = 1,967.63 : x
  2. Step 2: Convert to fraction form
    6,899.09/10,345.62 = 1,967.63/x
  3. Step 3: Cross multiply
    6,899.09x = 10,345.62 × 1,967.63
  4. Step 4: Simplify right side
    6,899.09x = 20,356,352.28
  5. Step 5: Solve for x
    x = 20,356,352.28/6,899.09
  6. Step 6: Final answer
    x = 2,950.59

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