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Finding the Fourth Proportional to 7,192.76, 10,775.31 and 4,411.32

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Solution

The fourth proportional to 7,192.76, 10,775.31 and 4,411.32 is: 6,608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,192.76 : 10,775.31 = 4,411.32 : x
  2. Step 2: Convert to fraction form
    7,192.76/10,775.31 = 4,411.32/x
  3. Step 3: Cross multiply
    7,192.76x = 10,775.31 × 4,411.32
  4. Step 4: Simplify right side
    7,192.76x = 47,533,340.51
  5. Step 5: Solve for x
    x = 47,533,340.51/7,192.76
  6. Step 6: Final answer
    x = 6,608.50

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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.