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Finding the Fourth Proportional to 10,012.45, 14,990.99 and 7,539.77

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Solution

The fourth proportional to 10,012.45, 14,990.99 and 7,539.77 is: 11,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.45 : 14,990.99 = 7,539.77 : x
  2. Step 2: Convert to fraction form
    10,012.45/14,990.99 = 7,539.77/x
  3. Step 3: Cross multiply
    10,012.45x = 14,990.99 × 7,539.77
  4. Step 4: Simplify right side
    10,012.45x = 113,028,616.67
  5. Step 5: Solve for x
    x = 113,028,616.67/10,012.45
  6. Step 6: Final answer
    x = 11,288.81

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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.