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Finding the Fourth Proportional to 12,938.84, 17,857.53 and 7,905.97

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Solution

The fourth proportional to 12,938.84, 17,857.53 and 7,905.97 is: 10,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.84 : 17,857.53 = 7,905.97 : x
  2. Step 2: Convert to fraction form
    12,938.84/17,857.53 = 7,905.97/x
  3. Step 3: Cross multiply
    12,938.84x = 17,857.53 × 7,905.97
  4. Step 4: Simplify right side
    12,938.84x = 141,181,051.81
  5. Step 5: Solve for x
    x = 141,181,051.81/12,938.84
  6. Step 6: Final answer
    x = 10,911.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.