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Finding the Fourth Proportional to 6,924.17, 10,385.46 and 1,926.95

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Solution

The fourth proportional to 6,924.17, 10,385.46 and 1,926.95 is: 2,890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.17 : 10,385.46 = 1,926.95 : x
  2. Step 2: Convert to fraction form
    6,924.17/10,385.46 = 1,926.95/x
  3. Step 3: Cross multiply
    6,924.17x = 10,385.46 × 1,926.95
  4. Step 4: Simplify right side
    6,924.17x = 20,012,210.22
  5. Step 5: Solve for x
    x = 20,012,210.22/6,924.17
  6. Step 6: Final answer
    x = 2,890.20

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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.