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Finding the Fourth Proportional to 11,733.34, 16,191.98 and 6,428.10

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Solution

The fourth proportional to 11,733.34, 16,191.98 and 6,428.10 is: 8,870.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,733.34 : 16,191.98 = 6,428.10 : x
  2. Step 2: Convert to fraction form
    11,733.34/16,191.98 = 6,428.10/x
  3. Step 3: Cross multiply
    11,733.34x = 16,191.98 × 6,428.10
  4. Step 4: Simplify right side
    11,733.34x = 104,083,666.64
  5. Step 5: Solve for x
    x = 104,083,666.64/11,733.34
  6. Step 6: Final answer
    x = 8,870.76

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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.