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Finding the Fourth Proportional to 10,638.62, 14,681.28 and 5,924.01

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Solution

The fourth proportional to 10,638.62, 14,681.28 and 5,924.01 is: 8,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,638.62 : 14,681.28 = 5,924.01 : x
  2. Step 2: Convert to fraction form
    10,638.62/14,681.28 = 5,924.01/x
  3. Step 3: Cross multiply
    10,638.62x = 14,681.28 × 5,924.01
  4. Step 4: Simplify right side
    10,638.62x = 86,972,049.53
  5. Step 5: Solve for x
    x = 86,972,049.53/10,638.62
  6. Step 6: Final answer
    x = 8,175.13

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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.