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Finding the Fourth Proportional to 10,089.84, 15,136.42 and 3,517.94

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Solution

The fourth proportional to 10,089.84, 15,136.42 and 3,517.94 is: 5,277.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.84 : 15,136.42 = 3,517.94 : x
  2. Step 2: Convert to fraction form
    10,089.84/15,136.42 = 3,517.94/x
  3. Step 3: Cross multiply
    10,089.84x = 15,136.42 × 3,517.94
  4. Step 4: Simplify right side
    10,089.84x = 53,249,017.37
  5. Step 5: Solve for x
    x = 53,249,017.37/10,089.84
  6. Step 6: Final answer
    x = 5,277.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.