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Finding the Fourth Proportional to 10,374.30, 15,577.74 and 9,997.20

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Solution

The fourth proportional to 10,374.30, 15,577.74 and 9,997.20 is: 15,011.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.30 : 15,577.74 = 9,997.20 : x
  2. Step 2: Convert to fraction form
    10,374.30/15,577.74 = 9,997.20/x
  3. Step 3: Cross multiply
    10,374.30x = 15,577.74 × 9,997.20
  4. Step 4: Simplify right side
    10,374.30x = 155,733,782.33
  5. Step 5: Solve for x
    x = 155,733,782.33/10,374.30
  6. Step 6: Final answer
    x = 15,011.50

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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.