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Finding the Fourth Proportional to 10,769.36, 14,862.06 and 6,521.21

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Solution

The fourth proportional to 10,769.36, 14,862.06 and 6,521.21 is: 8,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.36 : 14,862.06 = 6,521.21 : x
  2. Step 2: Convert to fraction form
    10,769.36/14,862.06 = 6,521.21/x
  3. Step 3: Cross multiply
    10,769.36x = 14,862.06 × 6,521.21
  4. Step 4: Simplify right side
    10,769.36x = 96,918,577.37
  5. Step 5: Solve for x
    x = 96,918,577.37/10,769.36
  6. Step 6: Final answer
    x = 8,999.48

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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.