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Finding the Fourth Proportional to 11,695.34, 17,536.70 and 5,113.83

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Solution

The fourth proportional to 11,695.34, 17,536.70 and 5,113.83 is: 7,667.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.34 : 17,536.70 = 5,113.83 : x
  2. Step 2: Convert to fraction form
    11,695.34/17,536.70 = 5,113.83/x
  3. Step 3: Cross multiply
    11,695.34x = 17,536.70 × 5,113.83
  4. Step 4: Simplify right side
    11,695.34x = 89,679,781.11
  5. Step 5: Solve for x
    x = 89,679,781.11/11,695.34
  6. Step 6: Final answer
    x = 7,667.99

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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.