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Finding the Fourth Proportional to 8,142.50, 11,235.21 and 4,999.70

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Solution

The fourth proportional to 8,142.50, 11,235.21 and 4,999.70 is: 6,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.50 : 11,235.21 = 4,999.70 : x
  2. Step 2: Convert to fraction form
    8,142.50/11,235.21 = 4,999.70/x
  3. Step 3: Cross multiply
    8,142.50x = 11,235.21 × 4,999.70
  4. Step 4: Simplify right side
    8,142.50x = 56,172,623.26
  5. Step 5: Solve for x
    x = 56,172,623.26/8,142.50
  6. Step 6: Final answer
    x = 6,898.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.