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Finding the Fourth Proportional to 12,783.35, 17,640.51 and 7,117.82

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Solution

The fourth proportional to 12,783.35, 17,640.51 and 7,117.82 is: 9,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783.35 : 17,640.51 = 7,117.82 : x
  2. Step 2: Convert to fraction form
    12,783.35/17,640.51 = 7,117.82/x
  3. Step 3: Cross multiply
    12,783.35x = 17,640.51 × 7,117.82
  4. Step 4: Simplify right side
    12,783.35x = 125,561,974.89
  5. Step 5: Solve for x
    x = 125,561,974.89/12,783.35
  6. Step 6: Final answer
    x = 9,822.31

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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.