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Finding the Fourth Proportional to 8,233.40, 12,351.34 and 3,038.84

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Solution

The fourth proportional to 8,233.40, 12,351.34 and 3,038.84 is: 4,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.40 : 12,351.34 = 3,038.84 : x
  2. Step 2: Convert to fraction form
    8,233.40/12,351.34 = 3,038.84/x
  3. Step 3: Cross multiply
    8,233.40x = 12,351.34 × 3,038.84
  4. Step 4: Simplify right side
    8,233.40x = 37,533,746.05
  5. Step 5: Solve for x
    x = 37,533,746.05/8,233.40
  6. Step 6: Final answer
    x = 4,558.72

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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.