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Finding the Fourth Proportional to 11,697.34, 17,538.98 and 4,934.87

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Solution

The fourth proportional to 11,697.34, 17,538.98 and 4,934.87 is: 7,399.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.34 : 17,538.98 = 4,934.87 : x
  2. Step 2: Convert to fraction form
    11,697.34/17,538.98 = 4,934.87/x
  3. Step 3: Cross multiply
    11,697.34x = 17,538.98 × 4,934.87
  4. Step 4: Simplify right side
    11,697.34x = 86,552,666.05
  5. Step 5: Solve for x
    x = 86,552,666.05/11,697.34
  6. Step 6: Final answer
    x = 7,399.35

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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.