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Finding the Fourth Proportional to 10,485.69, 14,455.38 and 7,496.31

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Solution

The fourth proportional to 10,485.69, 14,455.38 and 7,496.31 is: 10,334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.69 : 14,455.38 = 7,496.31 : x
  2. Step 2: Convert to fraction form
    10,485.69/14,455.38 = 7,496.31/x
  3. Step 3: Cross multiply
    10,485.69x = 14,455.38 × 7,496.31
  4. Step 4: Simplify right side
    10,485.69x = 108,362,009.65
  5. Step 5: Solve for x
    x = 108,362,009.65/10,485.69
  6. Step 6: Final answer
    x = 10,334.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.