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Finding the Fourth Proportional to 10,359.64, 14,295.80 and 5,882.80

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Solution

The fourth proportional to 10,359.64, 14,295.80 and 5,882.80 is: 8,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,359.64 : 14,295.80 = 5,882.80 : x
  2. Step 2: Convert to fraction form
    10,359.64/14,295.80 = 5,882.80/x
  3. Step 3: Cross multiply
    10,359.64x = 14,295.80 × 5,882.80
  4. Step 4: Simplify right side
    10,359.64x = 84,099,311.21
  5. Step 5: Solve for x
    x = 84,099,311.21/10,359.64
  6. Step 6: Final answer
    x = 8,117.98

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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.