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Finding the Fourth Proportional to 11,789.46, 16,269.19 and 6,484.16

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Solution

The fourth proportional to 11,789.46, 16,269.19 and 6,484.16 is: 8,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.46 : 16,269.19 = 6,484.16 : x
  2. Step 2: Convert to fraction form
    11,789.46/16,269.19 = 6,484.16/x
  3. Step 3: Cross multiply
    11,789.46x = 16,269.19 × 6,484.16
  4. Step 4: Simplify right side
    11,789.46x = 105,492,055.49
  5. Step 5: Solve for x
    x = 105,492,055.49/11,789.46
  6. Step 6: Final answer
    x = 8,948.00

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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.