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Finding the Fourth Proportional to 12,778.42, 17,634.88 and 7,113.18

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Solution

The fourth proportional to 12,778.42, 17,634.88 and 7,113.18 is: 9,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.42 : 17,634.88 = 7,113.18 : x
  2. Step 2: Convert to fraction form
    12,778.42/17,634.88 = 7,113.18/x
  3. Step 3: Cross multiply
    12,778.42x = 17,634.88 × 7,113.18
  4. Step 4: Simplify right side
    12,778.42x = 125,440,075.72
  5. Step 5: Solve for x
    x = 125,440,075.72/12,778.42
  6. Step 6: Final answer
    x = 9,816.56

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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.