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Finding the Fourth Proportional to 10,638.64, 14,681.56 and 5,923.36

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Solution

The fourth proportional to 10,638.64, 14,681.56 and 5,923.36 is: 8,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.64 : 14,681.56 = 5,923.36 : x
  2. Step 2: Convert to fraction form
    10,638.64/14,681.56 = 5,923.36/x
  3. Step 3: Cross multiply
    10,638.64x = 14,681.56 × 5,923.36
  4. Step 4: Simplify right side
    10,638.64x = 86,964,165.24
  5. Step 5: Solve for x
    x = 86,964,165.24/10,638.64
  6. Step 6: Final answer
    x = 8,174.37

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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.