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Finding the Fourth Proportional to 11,784.69, 16,262.51 and 6,479.46

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Solution

The fourth proportional to 11,784.69, 16,262.51 and 6,479.46 is: 8,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.69 : 16,262.51 = 6,479.46 : x
  2. Step 2: Convert to fraction form
    11,784.69/16,262.51 = 6,479.46/x
  3. Step 3: Cross multiply
    11,784.69x = 16,262.51 × 6,479.46
  4. Step 4: Simplify right side
    11,784.69x = 105,372,250.65
  5. Step 5: Solve for x
    x = 105,372,250.65/11,784.69
  6. Step 6: Final answer
    x = 8,941.45

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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.