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Finding the Fourth Proportional to 8,638.83, 12,937.64 and 5,341.91

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Solution

The fourth proportional to 8,638.83, 12,937.64 and 5,341.91 is: 8,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.83 : 12,937.64 = 5,341.91 : x
  2. Step 2: Convert to fraction form
    8,638.83/12,937.64 = 5,341.91/x
  3. Step 3: Cross multiply
    8,638.83x = 12,937.64 × 5,341.91
  4. Step 4: Simplify right side
    8,638.83x = 69,111,617.09
  5. Step 5: Solve for x
    x = 69,111,617.09/8,638.83
  6. Step 6: Final answer
    x = 8,000.11

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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.