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Finding the Fourth Proportional to 7,170.32, 9,895.95 and 4,026.50

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Solution

The fourth proportional to 7,170.32, 9,895.95 and 4,026.50 is: 5,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.32 : 9,895.95 = 4,026.50 : x
  2. Step 2: Convert to fraction form
    7,170.32/9,895.95 = 4,026.50/x
  3. Step 3: Cross multiply
    7,170.32x = 9,895.95 × 4,026.50
  4. Step 4: Simplify right side
    7,170.32x = 39,846,042.68
  5. Step 5: Solve for x
    x = 39,846,042.68/7,170.32
  6. Step 6: Final answer
    x = 5,557.08

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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.