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Finding the Fourth Proportional to 7,703.12, 11,559 and 3,086.48

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Solution

The fourth proportional to 7,703.12, 11,559 and 3,086.48 is: 4,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.12 : 11,559 = 3,086.48 : x
  2. Step 2: Convert to fraction form
    7,703.12/11,559 = 3,086.48/x
  3. Step 3: Cross multiply
    7,703.12x = 11,559 × 3,086.48
  4. Step 4: Simplify right side
    7,703.12x = 35,676,622.32
  5. Step 5: Solve for x
    x = 35,676,622.32/7,703.12
  6. Step 6: Final answer
    x = 4,631.45

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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.