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Finding the Fourth Proportional to 7,648.83, 11,470.41 and 4,529.52

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Solution

The fourth proportional to 7,648.83, 11,470.41 and 4,529.52 is: 6,792.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.83 : 11,470.41 = 4,529.52 : x
  2. Step 2: Convert to fraction form
    7,648.83/11,470.41 = 4,529.52/x
  3. Step 3: Cross multiply
    7,648.83x = 11,470.41 × 4,529.52
  4. Step 4: Simplify right side
    7,648.83x = 51,955,451.50
  5. Step 5: Solve for x
    x = 51,955,451.50/7,648.83
  6. Step 6: Final answer
    x = 6,792.60

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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.