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Finding the Fourth Proportional to 10,758.95, 14,861.36 and 8,271.64

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Solution

The fourth proportional to 10,758.95, 14,861.36 and 8,271.64 is: 11,425.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.95 : 14,861.36 = 8,271.64 : x
  2. Step 2: Convert to fraction form
    10,758.95/14,861.36 = 8,271.64/x
  3. Step 3: Cross multiply
    10,758.95x = 14,861.36 × 8,271.64
  4. Step 4: Simplify right side
    10,758.95x = 122,927,704.17
  5. Step 5: Solve for x
    x = 122,927,704.17/10,758.95
  6. Step 6: Final answer
    x = 11,425.63

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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.