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Finding the Fourth Proportional to 12,772.51, 17,626.05 and 7,107.19

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Solution

The fourth proportional to 12,772.51, 17,626.05 and 7,107.19 is: 9,807.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,772.51 : 17,626.05 = 7,107.19 : x
  2. Step 2: Convert to fraction form
    12,772.51/17,626.05 = 7,107.19/x
  3. Step 3: Cross multiply
    12,772.51x = 17,626.05 × 7,107.19
  4. Step 4: Simplify right side
    12,772.51x = 125,271,686.30
  5. Step 5: Solve for x
    x = 125,271,686.30/12,772.51
  6. Step 6: Final answer
    x = 9,807.91

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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.