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Finding the Fourth Proportional to 10,321.78, 14,244.01 and 5,606.06

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Solution

The fourth proportional to 10,321.78, 14,244.01 and 5,606.06 is: 7,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.78 : 14,244.01 = 5,606.06 : x
  2. Step 2: Convert to fraction form
    10,321.78/14,244.01 = 5,606.06/x
  3. Step 3: Cross multiply
    10,321.78x = 14,244.01 × 5,606.06
  4. Step 4: Simplify right side
    10,321.78x = 79,852,774.70
  5. Step 5: Solve for x
    x = 79,852,774.70/10,321.78
  6. Step 6: Final answer
    x = 7,736.34

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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.