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Finding the Fourth Proportional to 7,703.92, 11,557.32 and 3,087.28

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Solution

The fourth proportional to 7,703.92, 11,557.32 and 3,087.28 is: 4,631.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.92 : 11,557.32 = 3,087.28 : x
  2. Step 2: Convert to fraction form
    7,703.92/11,557.32 = 3,087.28/x
  3. Step 3: Cross multiply
    7,703.92x = 11,557.32 × 3,087.28
  4. Step 4: Simplify right side
    7,703.92x = 35,680,682.89
  5. Step 5: Solve for x
    x = 35,680,682.89/7,703.92
  6. Step 6: Final answer
    x = 4,631.50

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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.