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Finding the Fourth Proportional to 10,119.40, 13,953.90 and 7,431.76

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Solution

The fourth proportional to 10,119.40, 13,953.90 and 7,431.76 is: 10,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.40 : 13,953.90 = 7,431.76 : x
  2. Step 2: Convert to fraction form
    10,119.40/13,953.90 = 7,431.76/x
  3. Step 3: Cross multiply
    10,119.40x = 13,953.90 × 7,431.76
  4. Step 4: Simplify right side
    10,119.40x = 103,702,035.86
  5. Step 5: Solve for x
    x = 103,702,035.86/10,119.40
  6. Step 6: Final answer
    x = 10,247.84

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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.