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Finding the Fourth Proportional to 10,125.50, 15,188.24 and 3,200.00

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Solution

The fourth proportional to 10,125.50, 15,188.24 and 3,200.00 is: 4,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,125.50 : 15,188.24 = 3,200.00 : x
  2. Step 2: Convert to fraction form
    10,125.50/15,188.24 = 3,200.00/x
  3. Step 3: Cross multiply
    10,125.50x = 15,188.24 × 3,200.00
  4. Step 4: Simplify right side
    10,125.50x = 48,602,300.06
  5. Step 5: Solve for x
    x = 48,602,300.06/10,125.50
  6. Step 6: Final answer
    x = 4,799.99

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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.