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Finding the Fourth Proportional to 11,624.26, 16,040.28 and 6,907.63

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Solution

The fourth proportional to 11,624.26, 16,040.28 and 6,907.63 is: 9,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,624.26 : 16,040.28 = 6,907.63 : x
  2. Step 2: Convert to fraction form
    11,624.26/16,040.28 = 6,907.63/x
  3. Step 3: Cross multiply
    11,624.26x = 16,040.28 × 6,907.63
  4. Step 4: Simplify right side
    11,624.26x = 110,800,319.34
  5. Step 5: Solve for x
    x = 110,800,319.34/11,624.26
  6. Step 6: Final answer
    x = 9,531.82

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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.