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Finding the Fourth Proportional to 10,054.62, 13,875.74 and 6,074.96

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Solution

The fourth proportional to 10,054.62, 13,875.74 and 6,074.96 is: 8,383.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.62 : 13,875.74 = 6,074.96 : x
  2. Step 2: Convert to fraction form
    10,054.62/13,875.74 = 6,074.96/x
  3. Step 3: Cross multiply
    10,054.62x = 13,875.74 × 6,074.96
  4. Step 4: Simplify right side
    10,054.62x = 84,294,540.53
  5. Step 5: Solve for x
    x = 84,294,540.53/10,054.62
  6. Step 6: Final answer
    x = 8,383.67

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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.