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Finding the Fourth Proportional to 12,356.13, 17,051.46 and 6,767.13

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Solution

The fourth proportional to 12,356.13, 17,051.46 and 6,767.13 is: 9,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.13 : 17,051.46 = 6,767.13 : x
  2. Step 2: Convert to fraction form
    12,356.13/17,051.46 = 6,767.13/x
  3. Step 3: Cross multiply
    12,356.13x = 17,051.46 × 6,767.13
  4. Step 4: Simplify right side
    12,356.13x = 115,389,446.51
  5. Step 5: Solve for x
    x = 115,389,446.51/12,356.13
  6. Step 6: Final answer
    x = 9,338.64

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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.