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Finding the Fourth Proportional to 10,916.84, 16,375.30 and 4,343.00

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Solution

The fourth proportional to 10,916.84, 16,375.30 and 4,343.00 is: 6,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.84 : 16,375.30 = 4,343.00 : x
  2. Step 2: Convert to fraction form
    10,916.84/16,375.30 = 4,343.00/x
  3. Step 3: Cross multiply
    10,916.84x = 16,375.30 × 4,343.00
  4. Step 4: Simplify right side
    10,916.84x = 71,117,835.17
  5. Step 5: Solve for x
    x = 71,117,835.17/10,916.84
  6. Step 6: Final answer
    x = 6,514.51

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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.