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Finding the Fourth Proportional to 10,916.84, 16,376.48 and 3,898.48

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Solution

The fourth proportional to 10,916.84, 16,376.48 and 3,898.48 is: 5,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.84 : 16,376.48 = 3,898.48 : x
  2. Step 2: Convert to fraction form
    10,916.84/16,376.48 = 3,898.48/x
  3. Step 3: Cross multiply
    10,916.84x = 16,376.48 × 3,898.48
  4. Step 4: Simplify right side
    10,916.84x = 63,843,379.75
  5. Step 5: Solve for x
    x = 63,843,379.75/10,916.84
  6. Step 6: Final answer
    x = 5,848.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.