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Finding the Fourth Proportional to 12,737.06, 17,577.21 and 7,071.89

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Solution

The fourth proportional to 12,737.06, 17,577.21 and 7,071.89 is: 9,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.06 : 17,577.21 = 7,071.89 : x
  2. Step 2: Convert to fraction form
    12,737.06/17,577.21 = 7,071.89/x
  3. Step 3: Cross multiply
    12,737.06x = 17,577.21 × 7,071.89
  4. Step 4: Simplify right side
    12,737.06x = 124,304,095.63
  5. Step 5: Solve for x
    x = 124,304,095.63/12,737.06
  6. Step 6: Final answer
    x = 9,759.25

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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.