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Finding the Fourth Proportional to 10,291.26, 14,200.44 and 5,754

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Solution

The fourth proportional to 10,291.26, 14,200.44 and 5,754 is: 7,939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.26 : 14,200.44 = 5,754 : x
  2. Step 2: Convert to fraction form
    10,291.26/14,200.44 = 5,754/x
  3. Step 3: Cross multiply
    10,291.26x = 14,200.44 × 5,754
  4. Step 4: Simplify right side
    10,291.26x = 81,709,331.76
  5. Step 5: Solve for x
    x = 81,709,331.76/10,291.26
  6. Step 6: Final answer
    x = 7,939.68

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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.