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Finding the Fourth Proportional to 11,428.24, 15,770.28 and 7,237.84

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Solution

The fourth proportional to 11,428.24, 15,770.28 and 7,237.84 is: 9,987.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.24 : 15,770.28 = 7,237.84 : x
  2. Step 2: Convert to fraction form
    11,428.24/15,770.28 = 7,237.84/x
  3. Step 3: Cross multiply
    11,428.24x = 15,770.28 × 7,237.84
  4. Step 4: Simplify right side
    11,428.24x = 114,142,763.40
  5. Step 5: Solve for x
    x = 114,142,763.40/11,428.24
  6. Step 6: Final answer
    x = 9,987.78

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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.