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Finding the Fourth Proportional to 10,673.53, 16,012.59 and 3,278.50

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Solution

The fourth proportional to 10,673.53, 16,012.59 and 3,278.50 is: 4,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,673.53 : 16,012.59 = 3,278.50 : x
  2. Step 2: Convert to fraction form
    10,673.53/16,012.59 = 3,278.50/x
  3. Step 3: Cross multiply
    10,673.53x = 16,012.59 × 3,278.50
  4. Step 4: Simplify right side
    10,673.53x = 52,497,276.32
  5. Step 5: Solve for x
    x = 52,497,276.32/10,673.53
  6. Step 6: Final answer
    x = 4,918.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.