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Finding the Fourth Proportional to 7,566.63, 10,441.94 and 4,254.63

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Solution

The fourth proportional to 7,566.63, 10,441.94 and 4,254.63 is: 5,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.63 : 10,441.94 = 4,254.63 : x
  2. Step 2: Convert to fraction form
    7,566.63/10,441.94 = 4,254.63/x
  3. Step 3: Cross multiply
    7,566.63x = 10,441.94 × 4,254.63
  4. Step 4: Simplify right side
    7,566.63x = 44,426,591.18
  5. Step 5: Solve for x
    x = 44,426,591.18/7,566.63
  6. Step 6: Final answer
    x = 5,871.38

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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.