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Finding the Fourth Proportional to 10,638.99, 14,681.79 and 5,924.39

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Solution

The fourth proportional to 10,638.99, 14,681.79 and 5,924.39 is: 8,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.99 : 14,681.79 = 5,924.39 : x
  2. Step 2: Convert to fraction form
    10,638.99/14,681.79 = 5,924.39/x
  3. Step 3: Cross multiply
    10,638.99x = 14,681.79 × 5,924.39
  4. Step 4: Simplify right side
    10,638.99x = 86,980,576.45
  5. Step 5: Solve for x
    x = 86,980,576.45/10,638.99
  6. Step 6: Final answer
    x = 8,175.64

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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.