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Finding the Fourth Proportional to 12,313.04, 16,977.15 and 8,539.43

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Solution

The fourth proportional to 12,313.04, 16,977.15 and 8,539.43 is: 11,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.04 : 16,977.15 = 8,539.43 : x
  2. Step 2: Convert to fraction form
    12,313.04/16,977.15 = 8,539.43/x
  3. Step 3: Cross multiply
    12,313.04x = 16,977.15 × 8,539.43
  4. Step 4: Simplify right side
    12,313.04x = 144,975,184.02
  5. Step 5: Solve for x
    x = 144,975,184.02/12,313.04
  6. Step 6: Final answer
    x = 11,774.12

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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.