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Finding the Fourth Proportional to 10,122.96, 13,970.16 and 6,144.48

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Solution

The fourth proportional to 10,122.96, 13,970.16 and 6,144.48 is: 8,479.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.96 : 13,970.16 = 6,144.48 : x
  2. Step 2: Convert to fraction form
    10,122.96/13,970.16 = 6,144.48/x
  3. Step 3: Cross multiply
    10,122.96x = 13,970.16 × 6,144.48
  4. Step 4: Simplify right side
    10,122.96x = 85,839,368.72
  5. Step 5: Solve for x
    x = 85,839,368.72/10,122.96
  6. Step 6: Final answer
    x = 8,479.67

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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.