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Finding the Fourth Proportional to 10,136, 15,203.23 and 3,562.63

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Solution

The fourth proportional to 10,136, 15,203.23 and 3,562.63 is: 5,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,136 : 15,203.23 = 3,562.63 : x
  2. Step 2: Convert to fraction form
    10,136/15,203.23 = 3,562.63/x
  3. Step 3: Cross multiply
    10,136x = 15,203.23 × 3,562.63
  4. Step 4: Simplify right side
    10,136x = 54,163,483.29
  5. Step 5: Solve for x
    x = 54,163,483.29/10,136
  6. Step 6: Final answer
    x = 5,343.67

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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.