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Finding the Fourth Proportional to 10,929.66, 16,396.10 and 3,531.66

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Solution

The fourth proportional to 10,929.66, 16,396.10 and 3,531.66 is: 5,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.66 : 16,396.10 = 3,531.66 : x
  2. Step 2: Convert to fraction form
    10,929.66/16,396.10 = 3,531.66/x
  3. Step 3: Cross multiply
    10,929.66x = 16,396.10 × 3,531.66
  4. Step 4: Simplify right side
    10,929.66x = 57,905,450.53
  5. Step 5: Solve for x
    x = 57,905,450.53/10,929.66
  6. Step 6: Final answer
    x = 5,298.01

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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.