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Finding the Fourth Proportional to 8,354.09, 12,526.86 and 2,509.94

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Solution

The fourth proportional to 8,354.09, 12,526.86 and 2,509.94 is: 3,763.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.09 : 12,526.86 = 2,509.94 : x
  2. Step 2: Convert to fraction form
    8,354.09/12,526.86 = 2,509.94/x
  3. Step 3: Cross multiply
    8,354.09x = 12,526.86 × 2,509.94
  4. Step 4: Simplify right side
    8,354.09x = 31,441,666.99
  5. Step 5: Solve for x
    x = 31,441,666.99/8,354.09
  6. Step 6: Final answer
    x = 3,763.63

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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.