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Finding the Fourth Proportional to 10,311.64, 14,230.02 and 5,595.80

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Solution

The fourth proportional to 10,311.64, 14,230.02 and 5,595.80 is: 7,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.64 : 14,230.02 = 5,595.80 : x
  2. Step 2: Convert to fraction form
    10,311.64/14,230.02 = 5,595.80/x
  3. Step 3: Cross multiply
    10,311.64x = 14,230.02 × 5,595.80
  4. Step 4: Simplify right side
    10,311.64x = 79,628,345.92
  5. Step 5: Solve for x
    x = 79,628,345.92/10,311.64
  6. Step 6: Final answer
    x = 7,722.18

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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.