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Finding the Fourth Proportional to 11,691.76, 17,538.78 and 4,670.11

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Solution

The fourth proportional to 11,691.76, 17,538.78 and 4,670.11 is: 7,005.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.76 : 17,538.78 = 4,670.11 : x
  2. Step 2: Convert to fraction form
    11,691.76/17,538.78 = 4,670.11/x
  3. Step 3: Cross multiply
    11,691.76x = 17,538.78 × 4,670.11
  4. Step 4: Simplify right side
    11,691.76x = 81,908,031.87
  5. Step 5: Solve for x
    x = 81,908,031.87/11,691.76
  6. Step 6: Final answer
    x = 7,005.62

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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.