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Finding the Fourth Proportional to 8,148.72, 12,223.08 and 2,305.32

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Solution

The fourth proportional to 8,148.72, 12,223.08 and 2,305.32 is: 3,457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.72 : 12,223.08 = 2,305.32 : x
  2. Step 2: Convert to fraction form
    8,148.72/12,223.08 = 2,305.32/x
  3. Step 3: Cross multiply
    8,148.72x = 12,223.08 × 2,305.32
  4. Step 4: Simplify right side
    8,148.72x = 28,178,110.79
  5. Step 5: Solve for x
    x = 28,178,110.79/8,148.72
  6. Step 6: Final answer
    x = 3,457.98

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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.