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Finding the Fourth Proportional to 10,531.98, 15,797.80 and 3,136.48

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Solution

The fourth proportional to 10,531.98, 15,797.80 and 3,136.48 is: 4,704.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,531.98 : 15,797.80 = 3,136.48 : x
  2. Step 2: Convert to fraction form
    10,531.98/15,797.80 = 3,136.48/x
  3. Step 3: Cross multiply
    10,531.98x = 15,797.80 × 3,136.48
  4. Step 4: Simplify right side
    10,531.98x = 49,549,483.74
  5. Step 5: Solve for x
    x = 49,549,483.74/10,531.98
  6. Step 6: Final answer
    x = 4,704.67

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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.