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Finding the Fourth Proportional to 11,506.46, 17,259.68 and 4,932.09

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Solution

The fourth proportional to 11,506.46, 17,259.68 and 4,932.09 is: 7,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.46 : 17,259.68 = 4,932.09 : x
  2. Step 2: Convert to fraction form
    11,506.46/17,259.68 = 4,932.09/x
  3. Step 3: Cross multiply
    11,506.46x = 17,259.68 × 4,932.09
  4. Step 4: Simplify right side
    11,506.46x = 85,126,307.46
  5. Step 5: Solve for x
    x = 85,126,307.46/11,506.46
  6. Step 6: Final answer
    x = 7,398.14

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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.