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Finding the Fourth Proportional to 11,485.62, 15,842.52 and 6,947.10

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Solution

The fourth proportional to 11,485.62, 15,842.52 and 6,947.10 is: 9,582.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.62 : 15,842.52 = 6,947.10 : x
  2. Step 2: Convert to fraction form
    11,485.62/15,842.52 = 6,947.10/x
  3. Step 3: Cross multiply
    11,485.62x = 15,842.52 × 6,947.10
  4. Step 4: Simplify right side
    11,485.62x = 110,059,570.69
  5. Step 5: Solve for x
    x = 110,059,570.69/11,485.62
  6. Step 6: Final answer
    x = 9,582.38

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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.