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Finding the Fourth Proportional to 12,705.34, 19,058.03 and 5,305.77

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Solution

The fourth proportional to 12,705.34, 19,058.03 and 5,305.77 is: 7,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705.34 : 19,058.03 = 5,305.77 : x
  2. Step 2: Convert to fraction form
    12,705.34/19,058.03 = 5,305.77/x
  3. Step 3: Cross multiply
    12,705.34x = 19,058.03 × 5,305.77
  4. Step 4: Simplify right side
    12,705.34x = 101,117,523.83
  5. Step 5: Solve for x
    x = 101,117,523.83/12,705.34
  6. Step 6: Final answer
    x = 7,958.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.