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Finding the Fourth Proportional to 12,107.40, 16,708.08 and 6,802.20

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Solution

The fourth proportional to 12,107.40, 16,708.08 and 6,802.20 is: 9,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107.40 : 16,708.08 = 6,802.20 : x
  2. Step 2: Convert to fraction form
    12,107.40/16,708.08 = 6,802.20/x
  3. Step 3: Cross multiply
    12,107.40x = 16,708.08 × 6,802.20
  4. Step 4: Simplify right side
    12,107.40x = 113,651,701.78
  5. Step 5: Solve for x
    x = 113,651,701.78/12,107.40
  6. Step 6: Final answer
    x = 9,386.96

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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.