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Finding the Fourth Proportional to 11,453.16, 15,804 and 6,735.72

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Solution

The fourth proportional to 11,453.16, 15,804 and 6,735.72 is: 9,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,453.16 : 15,804 = 6,735.72 : x
  2. Step 2: Convert to fraction form
    11,453.16/15,804 = 6,735.72/x
  3. Step 3: Cross multiply
    11,453.16x = 15,804 × 6,735.72
  4. Step 4: Simplify right side
    11,453.16x = 106,451,318.88
  5. Step 5: Solve for x
    x = 106,451,318.88/11,453.16
  6. Step 6: Final answer
    x = 9,294.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.