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Finding the Fourth Proportional to 10,178.89, 15,266.50 and 3,605.11

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Solution

The fourth proportional to 10,178.89, 15,266.50 and 3,605.11 is: 5,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.89 : 15,266.50 = 3,605.11 : x
  2. Step 2: Convert to fraction form
    10,178.89/15,266.50 = 3,605.11/x
  3. Step 3: Cross multiply
    10,178.89x = 15,266.50 × 3,605.11
  4. Step 4: Simplify right side
    10,178.89x = 55,037,317.46
  5. Step 5: Solve for x
    x = 55,037,317.46/10,178.89
  6. Step 6: Final answer
    x = 5,407.01

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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.