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Finding the Fourth Proportional to 7,409.50, 11,116.83 and 3,710.90

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Solution

The fourth proportional to 7,409.50, 11,116.83 and 3,710.90 is: 5,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.50 : 11,116.83 = 3,710.90 : x
  2. Step 2: Convert to fraction form
    7,409.50/11,116.83 = 3,710.90/x
  3. Step 3: Cross multiply
    7,409.50x = 11,116.83 × 3,710.90
  4. Step 4: Simplify right side
    7,409.50x = 41,253,444.45
  5. Step 5: Solve for x
    x = 41,253,444.45/7,409.50
  6. Step 6: Final answer
    x = 5,567.64

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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.