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Finding the Fourth Proportional to 10,688.60, 16,022.10 and 6,303.80

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Solution

The fourth proportional to 10,688.60, 16,022.10 and 6,303.80 is: 9,449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.60 : 16,022.10 = 6,303.80 : x
  2. Step 2: Convert to fraction form
    10,688.60/16,022.10 = 6,303.80/x
  3. Step 3: Cross multiply
    10,688.60x = 16,022.10 × 6,303.80
  4. Step 4: Simplify right side
    10,688.60x = 101,000,113.98
  5. Step 5: Solve for x
    x = 101,000,113.98/10,688.60
  6. Step 6: Final answer
    x = 9,449.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.