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Finding the Fourth Proportional to 8,290.37, 11,437.32 and 5,102.70

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Solution

The fourth proportional to 8,290.37, 11,437.32 and 5,102.70 is: 7,039.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.37 : 11,437.32 = 5,102.70 : x
  2. Step 2: Convert to fraction form
    8,290.37/11,437.32 = 5,102.70/x
  3. Step 3: Cross multiply
    8,290.37x = 11,437.32 × 5,102.70
  4. Step 4: Simplify right side
    8,290.37x = 58,361,193.63
  5. Step 5: Solve for x
    x = 58,361,193.63/8,290.37
  6. Step 6: Final answer
    x = 7,039.64

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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.