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Finding the Fourth Proportional to 7,192.63, 10,775.13 and 4,411.19

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Solution

The fourth proportional to 7,192.63, 10,775.13 and 4,411.19 is: 6,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.63 : 10,775.13 = 4,411.19 : x
  2. Step 2: Convert to fraction form
    7,192.63/10,775.13 = 4,411.19/x
  3. Step 3: Cross multiply
    7,192.63x = 10,775.13 × 4,411.19
  4. Step 4: Simplify right side
    7,192.63x = 47,531,156.10
  5. Step 5: Solve for x
    x = 47,531,156.10/7,192.63
  6. Step 6: Final answer
    x = 6,608.31

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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.