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Finding the Fourth Proportional to 11,833, 16,329.54 and 6,865.96

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Solution

The fourth proportional to 11,833, 16,329.54 and 6,865.96 is: 9,475.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833 : 16,329.54 = 6,865.96 : x
  2. Step 2: Convert to fraction form
    11,833/16,329.54 = 6,865.96/x
  3. Step 3: Cross multiply
    11,833x = 16,329.54 × 6,865.96
  4. Step 4: Simplify right side
    11,833x = 112,117,968.46
  5. Step 5: Solve for x
    x = 112,117,968.46/11,833
  6. Step 6: Final answer
    x = 9,475.02

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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.