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Finding the Fourth Proportional to 7,910.42, 10,916.40 and 4,553.17

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Solution

The fourth proportional to 7,910.42, 10,916.40 and 4,553.17 is: 6,283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,910.42 : 10,916.40 = 4,553.17 : x
  2. Step 2: Convert to fraction form
    7,910.42/10,916.40 = 4,553.17/x
  3. Step 3: Cross multiply
    7,910.42x = 10,916.40 × 4,553.17
  4. Step 4: Simplify right side
    7,910.42x = 49,704,189.16
  5. Step 5: Solve for x
    x = 49,704,189.16/7,910.42
  6. Step 6: Final answer
    x = 6,283.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.