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Finding the Fourth Proportional to 7,357.96, 11,038.74 and 2,163.88

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Solution

The fourth proportional to 7,357.96, 11,038.74 and 2,163.88 is: 3,246.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.96 : 11,038.74 = 2,163.88 : x
  2. Step 2: Convert to fraction form
    7,357.96/11,038.74 = 2,163.88/x
  3. Step 3: Cross multiply
    7,357.96x = 11,038.74 × 2,163.88
  4. Step 4: Simplify right side
    7,357.96x = 23,886,508.71
  5. Step 5: Solve for x
    x = 23,886,508.71/7,357.96
  6. Step 6: Final answer
    x = 3,246.35

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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.