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Finding the Fourth Proportional to 8,490.14, 12,748.54 and 7,190.93

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Solution

The fourth proportional to 8,490.14, 12,748.54 and 7,190.93 is: 10,797.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.14 : 12,748.54 = 7,190.93 : x
  2. Step 2: Convert to fraction form
    8,490.14/12,748.54 = 7,190.93/x
  3. Step 3: Cross multiply
    8,490.14x = 12,748.54 × 7,190.93
  4. Step 4: Simplify right side
    8,490.14x = 91,673,858.74
  5. Step 5: Solve for x
    x = 91,673,858.74/8,490.14
  6. Step 6: Final answer
    x = 10,797.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.