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Finding the Fourth Proportional to 12,778.07, 17,633.93 and 7,113.12

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Solution

The fourth proportional to 12,778.07, 17,633.93 and 7,113.12 is: 9,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.07 : 17,633.93 = 7,113.12 : x
  2. Step 2: Convert to fraction form
    12,778.07/17,633.93 = 7,113.12/x
  3. Step 3: Cross multiply
    12,778.07x = 17,633.93 × 7,113.12
  4. Step 4: Simplify right side
    12,778.07x = 125,432,260.16
  5. Step 5: Solve for x
    x = 125,432,260.16/12,778.07
  6. Step 6: Final answer
    x = 9,816.21

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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.