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Finding the Fourth Proportional to 10,201.54, 14,080.32 and 7,785.18

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Solution

The fourth proportional to 10,201.54, 14,080.32 and 7,785.18 is: 10,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.54 : 14,080.32 = 7,785.18 : x
  2. Step 2: Convert to fraction form
    10,201.54/14,080.32 = 7,785.18/x
  3. Step 3: Cross multiply
    10,201.54x = 14,080.32 × 7,785.18
  4. Step 4: Simplify right side
    10,201.54x = 109,617,825.66
  5. Step 5: Solve for x
    x = 109,617,825.66/10,201.54
  6. Step 6: Final answer
    x = 10,745.22

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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.