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Finding the Fourth Proportional to 6,503.06, 8,971.89 and 5,874.50

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Solution

The fourth proportional to 6,503.06, 8,971.89 and 5,874.50 is: 8,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.06 : 8,971.89 = 5,874.50 : x
  2. Step 2: Convert to fraction form
    6,503.06/8,971.89 = 5,874.50/x
  3. Step 3: Cross multiply
    6,503.06x = 8,971.89 × 5,874.50
  4. Step 4: Simplify right side
    6,503.06x = 52,705,367.81
  5. Step 5: Solve for x
    x = 52,705,367.81/6,503.06
  6. Step 6: Final answer
    x = 8,104.70

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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.