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Finding the Fourth Proportional to 10,494.81, 14,478.16 and 7,090.73

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Solution

The fourth proportional to 10,494.81, 14,478.16 and 7,090.73 is: 9,782.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.81 : 14,478.16 = 7,090.73 : x
  2. Step 2: Convert to fraction form
    10,494.81/14,478.16 = 7,090.73/x
  3. Step 3: Cross multiply
    10,494.81x = 14,478.16 × 7,090.73
  4. Step 4: Simplify right side
    10,494.81x = 102,660,624.48
  5. Step 5: Solve for x
    x = 102,660,624.48/10,494.81
  6. Step 6: Final answer
    x = 9,782.04

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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.