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Finding the Fourth Proportional to 10,632.49, 14,693.06 and 7,975.28

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Solution

The fourth proportional to 10,632.49, 14,693.06 and 7,975.28 is: 11,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.49 : 14,693.06 = 7,975.28 : x
  2. Step 2: Convert to fraction form
    10,632.49/14,693.06 = 7,975.28/x
  3. Step 3: Cross multiply
    10,632.49x = 14,693.06 × 7,975.28
  4. Step 4: Simplify right side
    10,632.49x = 117,181,324.23
  5. Step 5: Solve for x
    x = 117,181,324.23/10,632.49
  6. Step 6: Final answer
    x = 11,021.06

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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.