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Finding the Fourth Proportional to 12,751.34, 17,597.37 and 7,086.06

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Solution

The fourth proportional to 12,751.34, 17,597.37 and 7,086.06 is: 9,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.34 : 17,597.37 = 7,086.06 : x
  2. Step 2: Convert to fraction form
    12,751.34/17,597.37 = 7,086.06/x
  3. Step 3: Cross multiply
    12,751.34x = 17,597.37 × 7,086.06
  4. Step 4: Simplify right side
    12,751.34x = 124,696,019.66
  5. Step 5: Solve for x
    x = 124,696,019.66/12,751.34
  6. Step 6: Final answer
    x = 9,779.06

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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.