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Finding the Fourth Proportional to 11,412.82, 15,754.26 and 7,437.34

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Solution

The fourth proportional to 11,412.82, 15,754.26 and 7,437.34 is: 10,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.82 : 15,754.26 = 7,437.34 : x
  2. Step 2: Convert to fraction form
    11,412.82/15,754.26 = 7,437.34/x
  3. Step 3: Cross multiply
    11,412.82x = 15,754.26 × 7,437.34
  4. Step 4: Simplify right side
    11,412.82x = 117,169,788.07
  5. Step 5: Solve for x
    x = 117,169,788.07/11,412.82
  6. Step 6: Final answer
    x = 10,266.51

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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.