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Finding the Fourth Proportional to 11,256.86, 15,522.78 and 9,668.75

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Solution

The fourth proportional to 11,256.86, 15,522.78 and 9,668.75 is: 13,332.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.86 : 15,522.78 = 9,668.75 : x
  2. Step 2: Convert to fraction form
    11,256.86/15,522.78 = 9,668.75/x
  3. Step 3: Cross multiply
    11,256.86x = 15,522.78 × 9,668.75
  4. Step 4: Simplify right side
    11,256.86x = 150,085,801.51
  5. Step 5: Solve for x
    x = 150,085,801.51/11,256.86
  6. Step 6: Final answer
    x = 13,332.84

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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.