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Finding the Fourth Proportional to 10,129.04, 15,194.10 and 3,203

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Solution

The fourth proportional to 10,129.04, 15,194.10 and 3,203 is: 4,804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.04 : 15,194.10 = 3,203 : x
  2. Step 2: Convert to fraction form
    10,129.04/15,194.10 = 3,203/x
  3. Step 3: Cross multiply
    10,129.04x = 15,194.10 × 3,203
  4. Step 4: Simplify right side
    10,129.04x = 48,666,702.30
  5. Step 5: Solve for x
    x = 48,666,702.30/10,129.04
  6. Step 6: Final answer
    x = 4,804.67

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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.