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Finding the Fourth Proportional to 10,178.56, 15,266.01 and 4,632.08

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Solution

The fourth proportional to 10,178.56, 15,266.01 and 4,632.08 is: 6,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,178.56 : 15,266.01 = 4,632.08 : x
  2. Step 2: Convert to fraction form
    10,178.56/15,266.01 = 4,632.08/x
  3. Step 3: Cross multiply
    10,178.56x = 15,266.01 × 4,632.08
  4. Step 4: Simplify right side
    10,178.56x = 70,713,379.60
  5. Step 5: Solve for x
    x = 70,713,379.60/10,178.56
  6. Step 6: Final answer
    x = 6,947.29

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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.