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Finding the Fourth Proportional to 10,733.56, 14,813.22 and 6,544.24

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Solution

The fourth proportional to 10,733.56, 14,813.22 and 6,544.24 is: 9,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,733.56 : 14,813.22 = 6,544.24 : x
  2. Step 2: Convert to fraction form
    10,733.56/14,813.22 = 6,544.24/x
  3. Step 3: Cross multiply
    10,733.56x = 14,813.22 × 6,544.24
  4. Step 4: Simplify right side
    10,733.56x = 96,941,266.85
  5. Step 5: Solve for x
    x = 96,941,266.85/10,733.56
  6. Step 6: Final answer
    x = 9,031.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.