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Finding the Fourth Proportional to 11,415.82, 15,758.40 and 7,440.34

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Solution

The fourth proportional to 11,415.82, 15,758.40 and 7,440.34 is: 10,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,415.82 : 15,758.40 = 7,440.34 : x
  2. Step 2: Convert to fraction form
    11,415.82/15,758.40 = 7,440.34/x
  3. Step 3: Cross multiply
    11,415.82x = 15,758.40 × 7,440.34
  4. Step 4: Simplify right side
    11,415.82x = 117,247,853.86
  5. Step 5: Solve for x
    x = 117,247,853.86/11,415.82
  6. Step 6: Final answer
    x = 10,270.65

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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.