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Finding the Fourth Proportional to 10,536.02, 14,539.22 and 6,289.90

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Solution

The fourth proportional to 10,536.02, 14,539.22 and 6,289.90 is: 8,679.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.02 : 14,539.22 = 6,289.90 : x
  2. Step 2: Convert to fraction form
    10,536.02/14,539.22 = 6,289.90/x
  3. Step 3: Cross multiply
    10,536.02x = 14,539.22 × 6,289.90
  4. Step 4: Simplify right side
    10,536.02x = 91,450,295.14
  5. Step 5: Solve for x
    x = 91,450,295.14/10,536.02
  6. Step 6: Final answer
    x = 8,679.77

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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.