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Finding the Fourth Proportional to 11,668.42, 16,084.06 and 9,776.66

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Solution

The fourth proportional to 11,668.42, 16,084.06 and 9,776.66 is: 13,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.42 : 16,084.06 = 9,776.66 : x
  2. Step 2: Convert to fraction form
    11,668.42/16,084.06 = 9,776.66/x
  3. Step 3: Cross multiply
    11,668.42x = 16,084.06 × 9,776.66
  4. Step 4: Simplify right side
    11,668.42x = 157,248,386.04
  5. Step 5: Solve for x
    x = 157,248,386.04/11,668.42
  6. Step 6: Final answer
    x = 13,476.41

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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.