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Finding the Fourth Proportional to 8,152.38, 11,254.95 and 5,365.98

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Solution

The fourth proportional to 8,152.38, 11,254.95 and 5,365.98 is: 7,408.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,152.38 : 11,254.95 = 5,365.98 : x
  2. Step 2: Convert to fraction form
    8,152.38/11,254.95 = 5,365.98/x
  3. Step 3: Cross multiply
    8,152.38x = 11,254.95 × 5,365.98
  4. Step 4: Simplify right side
    8,152.38x = 60,393,836.60
  5. Step 5: Solve for x
    x = 60,393,836.60/8,152.38
  6. Step 6: Final answer
    x = 7,408.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.