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Finding the Fourth Proportional to 7,698.30, 11,548.26 and 5,095.50

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Solution

The fourth proportional to 7,698.30, 11,548.26 and 5,095.50 is: 7,643.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.30 : 11,548.26 = 5,095.50 : x
  2. Step 2: Convert to fraction form
    7,698.30/11,548.26 = 5,095.50/x
  3. Step 3: Cross multiply
    7,698.30x = 11,548.26 × 5,095.50
  4. Step 4: Simplify right side
    7,698.30x = 58,844,158.83
  5. Step 5: Solve for x
    x = 58,844,158.83/7,698.30
  6. Step 6: Final answer
    x = 7,643.79

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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.