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Finding the Fourth Proportional to 10,596.21, 14,622.78 and 5,816.19

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Solution

The fourth proportional to 10,596.21, 14,622.78 and 5,816.19 is: 8,026.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.21 : 14,622.78 = 5,816.19 : x
  2. Step 2: Convert to fraction form
    10,596.21/14,622.78 = 5,816.19/x
  3. Step 3: Cross multiply
    10,596.21x = 14,622.78 × 5,816.19
  4. Step 4: Simplify right side
    10,596.21x = 85,048,866.81
  5. Step 5: Solve for x
    x = 85,048,866.81/10,596.21
  6. Step 6: Final answer
    x = 8,026.35

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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.