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Finding the Fourth Proportional to 12,302.76, 16,977.84 and 6,713.76

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Solution

The fourth proportional to 12,302.76, 16,977.84 and 6,713.76 is: 9,265.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.76 : 16,977.84 = 6,713.76 : x
  2. Step 2: Convert to fraction form
    12,302.76/16,977.84 = 6,713.76/x
  3. Step 3: Cross multiply
    12,302.76x = 16,977.84 × 6,713.76
  4. Step 4: Simplify right side
    12,302.76x = 113,985,143.08
  5. Step 5: Solve for x
    x = 113,985,143.08/12,302.76
  6. Step 6: Final answer
    x = 9,265.01

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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.