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Finding the Fourth Proportional to 11,688.84, 17,535.06 and 3,897

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Solution

The fourth proportional to 11,688.84, 17,535.06 and 3,897 is: 5,846.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.84 : 17,535.06 = 3,897 : x
  2. Step 2: Convert to fraction form
    11,688.84/17,535.06 = 3,897/x
  3. Step 3: Cross multiply
    11,688.84x = 17,535.06 × 3,897
  4. Step 4: Simplify right side
    11,688.84x = 68,334,128.82
  5. Step 5: Solve for x
    x = 68,334,128.82/11,688.84
  6. Step 6: Final answer
    x = 5,846.10

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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.