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Finding the Fourth Proportional to 7,049.91, 10,574.04 and 1,856.19

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Solution

The fourth proportional to 7,049.91, 10,574.04 and 1,856.19 is: 2,784.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.91 : 10,574.04 = 1,856.19 : x
  2. Step 2: Convert to fraction form
    7,049.91/10,574.04 = 1,856.19/x
  3. Step 3: Cross multiply
    7,049.91x = 10,574.04 × 1,856.19
  4. Step 4: Simplify right side
    7,049.91x = 19,627,427.31
  5. Step 5: Solve for x
    x = 19,627,427.31/7,049.91
  6. Step 6: Final answer
    x = 2,784.07

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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.