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Finding the Fourth Proportional to 8,973.50, 13,460.37 and 2,817.50

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Solution

The fourth proportional to 8,973.50, 13,460.37 and 2,817.50 is: 4,226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.50 : 13,460.37 = 2,817.50 : x
  2. Step 2: Convert to fraction form
    8,973.50/13,460.37 = 2,817.50/x
  3. Step 3: Cross multiply
    8,973.50x = 13,460.37 × 2,817.50
  4. Step 4: Simplify right side
    8,973.50x = 37,924,592.48
  5. Step 5: Solve for x
    x = 37,924,592.48/8,973.50
  6. Step 6: Final answer
    x = 4,226.29

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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.