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Finding the Fourth Proportional to 10,130, 15,194.52 and 3,203.60

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Solution

The fourth proportional to 10,130, 15,194.52 and 3,203.60 is: 4,805.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,130 : 15,194.52 = 3,203.60 : x
  2. Step 2: Convert to fraction form
    10,130/15,194.52 = 3,203.60/x
  3. Step 3: Cross multiply
    10,130x = 15,194.52 × 3,203.60
  4. Step 4: Simplify right side
    10,130x = 48,677,164.27
  5. Step 5: Solve for x
    x = 48,677,164.27/10,130
  6. Step 6: Final answer
    x = 4,805.25

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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.