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Finding the Fourth Proportional to 10,473.40, 15,696.73 and 4,914.47

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Solution

The fourth proportional to 10,473.40, 15,696.73 and 4,914.47 is: 7,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.40 : 15,696.73 = 4,914.47 : x
  2. Step 2: Convert to fraction form
    10,473.40/15,696.73 = 4,914.47/x
  3. Step 3: Cross multiply
    10,473.40x = 15,696.73 × 4,914.47
  4. Step 4: Simplify right side
    10,473.40x = 77,141,108.68
  5. Step 5: Solve for x
    x = 77,141,108.68/10,473.40
  6. Step 6: Final answer
    x = 7,365.43

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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.