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Finding the Fourth Proportional to 11,848.46, 16,354.04 and 6,813.23

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Solution

The fourth proportional to 11,848.46, 16,354.04 and 6,813.23 is: 9,404.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.46 : 16,354.04 = 6,813.23 : x
  2. Step 2: Convert to fraction form
    11,848.46/16,354.04 = 6,813.23/x
  3. Step 3: Cross multiply
    11,848.46x = 16,354.04 × 6,813.23
  4. Step 4: Simplify right side
    11,848.46x = 111,423,720.11
  5. Step 5: Solve for x
    x = 111,423,720.11/11,848.46
  6. Step 6: Final answer
    x = 9,404.07

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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.