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Finding the Fourth Proportional to 10,864.98, 14,986.56 and 8,623.32

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Solution

The fourth proportional to 10,864.98, 14,986.56 and 8,623.32 is: 11,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.98 : 14,986.56 = 8,623.32 : x
  2. Step 2: Convert to fraction form
    10,864.98/14,986.56 = 8,623.32/x
  3. Step 3: Cross multiply
    10,864.98x = 14,986.56 × 8,623.32
  4. Step 4: Simplify right side
    10,864.98x = 129,233,902.58
  5. Step 5: Solve for x
    x = 129,233,902.58/10,864.98
  6. Step 6: Final answer
    x = 11,894.54

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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.