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Finding the Fourth Proportional to 10,756.72, 16,131.02 and 4,182.08

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Solution

The fourth proportional to 10,756.72, 16,131.02 and 4,182.08 is: 6,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,756.72 : 16,131.02 = 4,182.08 : x
  2. Step 2: Convert to fraction form
    10,756.72/16,131.02 = 4,182.08/x
  3. Step 3: Cross multiply
    10,756.72x = 16,131.02 × 4,182.08
  4. Step 4: Simplify right side
    10,756.72x = 67,461,216.12
  5. Step 5: Solve for x
    x = 67,461,216.12/10,756.72
  6. Step 6: Final answer
    x = 6,271.54

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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.