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Finding the Fourth Proportional to 7,588.43, 10,470.76 and 4,230.50

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Solution

The fourth proportional to 7,588.43, 10,470.76 and 4,230.50 is: 5,837.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,588.43 : 10,470.76 = 4,230.50 : x
  2. Step 2: Convert to fraction form
    7,588.43/10,470.76 = 4,230.50/x
  3. Step 3: Cross multiply
    7,588.43x = 10,470.76 × 4,230.50
  4. Step 4: Simplify right side
    7,588.43x = 44,296,550.18
  5. Step 5: Solve for x
    x = 44,296,550.18/7,588.43
  6. Step 6: Final answer
    x = 5,837.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.