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Finding the Fourth Proportional to 10,874.34, 15,003.27 and 6,157.74

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Solution

The fourth proportional to 10,874.34, 15,003.27 and 6,157.74 is: 8,495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.34 : 15,003.27 = 6,157.74 : x
  2. Step 2: Convert to fraction form
    10,874.34/15,003.27 = 6,157.74/x
  3. Step 3: Cross multiply
    10,874.34x = 15,003.27 × 6,157.74
  4. Step 4: Simplify right side
    10,874.34x = 92,386,235.81
  5. Step 5: Solve for x
    x = 92,386,235.81/10,874.34
  6. Step 6: Final answer
    x = 8,495.80

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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.