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Finding the Fourth Proportional to 11,867.46, 17,802.42 and 4,478.14

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Solution

The fourth proportional to 11,867.46, 17,802.42 and 4,478.14 is: 6,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.46 : 17,802.42 = 4,478.14 : x
  2. Step 2: Convert to fraction form
    11,867.46/17,802.42 = 4,478.14/x
  3. Step 3: Cross multiply
    11,867.46x = 17,802.42 × 4,478.14
  4. Step 4: Simplify right side
    11,867.46x = 79,721,729.10
  5. Step 5: Solve for x
    x = 79,721,729.10/11,867.46
  6. Step 6: Final answer
    x = 6,717.67

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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.