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Finding the Fourth Proportional to 12,107.28, 16,708.24 and 6,802.08

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Solution

The fourth proportional to 12,107.28, 16,708.24 and 6,802.08 is: 9,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.28 : 16,708.24 = 6,802.08 : x
  2. Step 2: Convert to fraction form
    12,107.28/16,708.24 = 6,802.08/x
  3. Step 3: Cross multiply
    12,107.28x = 16,708.24 × 6,802.08
  4. Step 4: Simplify right side
    12,107.28x = 113,650,785.14
  5. Step 5: Solve for x
    x = 113,650,785.14/12,107.28
  6. Step 6: Final answer
    x = 9,386.98

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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.