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Finding the Fourth Proportional to 7,666.78, 10,582.32 and 4,523.98

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Solution

The fourth proportional to 7,666.78, 10,582.32 and 4,523.98 is: 6,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.78 : 10,582.32 = 4,523.98 : x
  2. Step 2: Convert to fraction form
    7,666.78/10,582.32 = 4,523.98/x
  3. Step 3: Cross multiply
    7,666.78x = 10,582.32 × 4,523.98
  4. Step 4: Simplify right side
    7,666.78x = 47,874,204.03
  5. Step 5: Solve for x
    x = 47,874,204.03/7,666.78
  6. Step 6: Final answer
    x = 6,244.37

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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.