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Finding the Fourth Proportional to 10,486.40, 15,730.40 and 4,243.46

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Solution

The fourth proportional to 10,486.40, 15,730.40 and 4,243.46 is: 6,365.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.40 : 15,730.40 = 4,243.46 : x
  2. Step 2: Convert to fraction form
    10,486.40/15,730.40 = 4,243.46/x
  3. Step 3: Cross multiply
    10,486.40x = 15,730.40 × 4,243.46
  4. Step 4: Simplify right side
    10,486.40x = 66,751,255.14
  5. Step 5: Solve for x
    x = 66,751,255.14/10,486.40
  6. Step 6: Final answer
    x = 6,365.51

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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.