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Finding the Fourth Proportional to 6,924.58, 10,384.14 and 3,026.26

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Solution

The fourth proportional to 6,924.58, 10,384.14 and 3,026.26 is: 4,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.58 : 10,384.14 = 3,026.26 : x
  2. Step 2: Convert to fraction form
    6,924.58/10,384.14 = 3,026.26/x
  3. Step 3: Cross multiply
    6,924.58x = 10,384.14 × 3,026.26
  4. Step 4: Simplify right side
    6,924.58x = 31,425,107.52
  5. Step 5: Solve for x
    x = 31,425,107.52/6,924.58
  6. Step 6: Final answer
    x = 4,538.20

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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.