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Finding the Fourth Proportional to 11,878.34, 16,405.08 and 7,916.28

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Solution

The fourth proportional to 11,878.34, 16,405.08 and 7,916.28 is: 10,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.34 : 16,405.08 = 7,916.28 : x
  2. Step 2: Convert to fraction form
    11,878.34/16,405.08 = 7,916.28/x
  3. Step 3: Cross multiply
    11,878.34x = 16,405.08 × 7,916.28
  4. Step 4: Simplify right side
    11,878.34x = 129,867,206.70
  5. Step 5: Solve for x
    x = 129,867,206.70/11,878.34
  6. Step 6: Final answer
    x = 10,933.11

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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.