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Finding the Fourth Proportional to 10,164.21, 14,024.93 and 5,973.27

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Solution

The fourth proportional to 10,164.21, 14,024.93 and 5,973.27 is: 8,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.21 : 14,024.93 = 5,973.27 : x
  2. Step 2: Convert to fraction form
    10,164.21/14,024.93 = 5,973.27/x
  3. Step 3: Cross multiply
    10,164.21x = 14,024.93 × 5,973.27
  4. Step 4: Simplify right side
    10,164.21x = 83,774,663.75
  5. Step 5: Solve for x
    x = 83,774,663.75/10,164.21
  6. Step 6: Final answer
    x = 8,242.12

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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.