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Finding the Fourth Proportional to 7,103.80, 10,652.46 and 3,407.77

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Solution

The fourth proportional to 7,103.80, 10,652.46 and 3,407.77 is: 5,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.80 : 10,652.46 = 3,407.77 : x
  2. Step 2: Convert to fraction form
    7,103.80/10,652.46 = 3,407.77/x
  3. Step 3: Cross multiply
    7,103.80x = 10,652.46 × 3,407.77
  4. Step 4: Simplify right side
    7,103.80x = 36,301,153.32
  5. Step 5: Solve for x
    x = 36,301,153.32/7,103.80
  6. Step 6: Final answer
    x = 5,110.10

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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.