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Finding the Fourth Proportional to 11,782.65, 16,256.01 and 7,304.79

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Solution

The fourth proportional to 11,782.65, 16,256.01 and 7,304.79 is: 10,078.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.65 : 16,256.01 = 7,304.79 : x
  2. Step 2: Convert to fraction form
    11,782.65/16,256.01 = 7,304.79/x
  3. Step 3: Cross multiply
    11,782.65x = 16,256.01 × 7,304.79
  4. Step 4: Simplify right side
    11,782.65x = 118,746,739.29
  5. Step 5: Solve for x
    x = 118,746,739.29/11,782.65
  6. Step 6: Final answer
    x = 10,078.10

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