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Finding the Fourth Proportional to 11,678.29, 17,503.59 and 6,128.62

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Solution

The fourth proportional to 11,678.29, 17,503.59 and 6,128.62 is: 9,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.29 : 17,503.59 = 6,128.62 : x
  2. Step 2: Convert to fraction form
    11,678.29/17,503.59 = 6,128.62/x
  3. Step 3: Cross multiply
    11,678.29x = 17,503.59 × 6,128.62
  4. Step 4: Simplify right side
    11,678.29x = 107,272,851.75
  5. Step 5: Solve for x
    x = 107,272,851.75/11,678.29
  6. Step 6: Final answer
    x = 9,185.66

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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.