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Finding the Fourth Proportional to 13,090.41, 18,064.62 and 7,785.32

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Solution

The fourth proportional to 13,090.41, 18,064.62 and 7,785.32 is: 10,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,090.41 : 18,064.62 = 7,785.32 : x
  2. Step 2: Convert to fraction form
    13,090.41/18,064.62 = 7,785.32/x
  3. Step 3: Cross multiply
    13,090.41x = 18,064.62 × 7,785.32
  4. Step 4: Simplify right side
    13,090.41x = 140,638,757.06
  5. Step 5: Solve for x
    x = 140,638,757.06/13,090.41
  6. Step 6: Final answer
    x = 10,743.65

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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.