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Finding the Fourth Proportional to 7,107.30, 9,808.05 and 4,124.88

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Solution

The fourth proportional to 7,107.30, 9,808.05 and 4,124.88 is: 5,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.30 : 9,808.05 = 4,124.88 : x
  2. Step 2: Convert to fraction form
    7,107.30/9,808.05 = 4,124.88/x
  3. Step 3: Cross multiply
    7,107.30x = 9,808.05 × 4,124.88
  4. Step 4: Simplify right side
    7,107.30x = 40,457,029.28
  5. Step 5: Solve for x
    x = 40,457,029.28/7,107.30
  6. Step 6: Final answer
    x = 5,692.32

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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.