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Finding the Fourth Proportional to 12,778.16, 17,634.78 and 7,113.35

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Solution

The fourth proportional to 12,778.16, 17,634.78 and 7,113.35 is: 9,816.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.16 : 17,634.78 = 7,113.35 : x
  2. Step 2: Convert to fraction form
    12,778.16/17,634.78 = 7,113.35/x
  3. Step 3: Cross multiply
    12,778.16x = 17,634.78 × 7,113.35
  4. Step 4: Simplify right side
    12,778.16x = 125,442,362.31
  5. Step 5: Solve for x
    x = 125,442,362.31/12,778.16
  6. Step 6: Final answer
    x = 9,816.93

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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.