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Finding the Fourth Proportional to 11,678.72, 17,519.16 and 4,657.04

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Solution

The fourth proportional to 11,678.72, 17,519.16 and 4,657.04 is: 6,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.72 : 17,519.16 = 4,657.04 : x
  2. Step 2: Convert to fraction form
    11,678.72/17,519.16 = 4,657.04/x
  3. Step 3: Cross multiply
    11,678.72x = 17,519.16 × 4,657.04
  4. Step 4: Simplify right side
    11,678.72x = 81,587,428.89
  5. Step 5: Solve for x
    x = 81,587,428.89/11,678.72
  6. Step 6: Final answer
    x = 6,985.99

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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.