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Finding the Fourth Proportional to 11,838.80, 16,337.63 and 6,461.19

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Solution

The fourth proportional to 11,838.80, 16,337.63 and 6,461.19 is: 8,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.80 : 16,337.63 = 6,461.19 : x
  2. Step 2: Convert to fraction form
    11,838.80/16,337.63 = 6,461.19/x
  3. Step 3: Cross multiply
    11,838.80x = 16,337.63 × 6,461.19
  4. Step 4: Simplify right side
    11,838.80x = 105,560,547.73
  5. Step 5: Solve for x
    x = 105,560,547.73/11,838.80
  6. Step 6: Final answer
    x = 8,916.49

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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.