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Finding the Fourth Proportional to 10,637.93, 14,680.08 and 5,857.84

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Solution

The fourth proportional to 10,637.93, 14,680.08 and 5,857.84 is: 8,083.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,637.93 : 14,680.08 = 5,857.84 : x
  2. Step 2: Convert to fraction form
    10,637.93/14,680.08 = 5,857.84/x
  3. Step 3: Cross multiply
    10,637.93x = 14,680.08 × 5,857.84
  4. Step 4: Simplify right side
    10,637.93x = 85,993,581.79
  5. Step 5: Solve for x
    x = 85,993,581.79/10,637.93
  6. Step 6: Final answer
    x = 8,083.67

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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.