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Finding the Fourth Proportional to 12,460.10, 18,693.54 and 5,438.79

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Solution

The fourth proportional to 12,460.10, 18,693.54 and 5,438.79 is: 8,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,460.10 : 18,693.54 = 5,438.79 : x
  2. Step 2: Convert to fraction form
    12,460.10/18,693.54 = 5,438.79/x
  3. Step 3: Cross multiply
    12,460.10x = 18,693.54 × 5,438.79
  4. Step 4: Simplify right side
    12,460.10x = 101,670,238.42
  5. Step 5: Solve for x
    x = 101,670,238.42/12,460.10
  6. Step 6: Final answer
    x = 8,159.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.