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Finding the Fourth Proportional to 27,685.60, 41,534.76 and 7,964.32

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Solution

The fourth proportional to 27,685.60, 41,534.76 and 7,964.32 is: 11,948.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.60 : 41,534.76 = 7,964.32 : x
  2. Step 2: Convert to fraction form
    27,685.60/41,534.76 = 7,964.32/x
  3. Step 3: Cross multiply
    27,685.60x = 41,534.76 × 7,964.32
  4. Step 4: Simplify right side
    27,685.60x = 330,796,119.76
  5. Step 5: Solve for x
    x = 330,796,119.76/27,685.60
  6. Step 6: Final answer
    x = 11,948.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.