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Finding the Fourth Proportional to 10,353.54, 14,271.75 and 8,671.98

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Solution

The fourth proportional to 10,353.54, 14,271.75 and 8,671.98 is: 11,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.54 : 14,271.75 = 8,671.98 : x
  2. Step 2: Convert to fraction form
    10,353.54/14,271.75 = 8,671.98/x
  3. Step 3: Cross multiply
    10,353.54x = 14,271.75 × 8,671.98
  4. Step 4: Simplify right side
    10,353.54x = 123,764,330.57
  5. Step 5: Solve for x
    x = 123,764,330.57/10,353.54
  6. Step 6: Final answer
    x = 11,953.82

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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.