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Finding the Fourth Proportional to 10,561.02, 14,573.21 and 6,311.24

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Solution

The fourth proportional to 10,561.02, 14,573.21 and 6,311.24 is: 8,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.02 : 14,573.21 = 6,311.24 : x
  2. Step 2: Convert to fraction form
    10,561.02/14,573.21 = 6,311.24/x
  3. Step 3: Cross multiply
    10,561.02x = 14,573.21 × 6,311.24
  4. Step 4: Simplify right side
    10,561.02x = 91,974,953.01
  5. Step 5: Solve for x
    x = 91,974,953.01/10,561.02
  6. Step 6: Final answer
    x = 8,708.91

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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.