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Finding the Fourth Proportional to 10,017.36, 13,823.82 and 5,541.12

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Solution

The fourth proportional to 10,017.36, 13,823.82 and 5,541.12 is: 7,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017.36 : 13,823.82 = 5,541.12 : x
  2. Step 2: Convert to fraction form
    10,017.36/13,823.82 = 5,541.12/x
  3. Step 3: Cross multiply
    10,017.36x = 13,823.82 × 5,541.12
  4. Step 4: Simplify right side
    10,017.36x = 76,599,445.48
  5. Step 5: Solve for x
    x = 76,599,445.48/10,017.36
  6. Step 6: Final answer
    x = 7,646.67

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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.