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Finding the Fourth Proportional to 8,364.99, 11,544.03 and 4,588.50

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Solution

The fourth proportional to 8,364.99, 11,544.03 and 4,588.50 is: 6,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.99 : 11,544.03 = 4,588.50 : x
  2. Step 2: Convert to fraction form
    8,364.99/11,544.03 = 4,588.50/x
  3. Step 3: Cross multiply
    8,364.99x = 11,544.03 × 4,588.50
  4. Step 4: Simplify right side
    8,364.99x = 52,969,781.66
  5. Step 5: Solve for x
    x = 52,969,781.66/8,364.99
  6. Step 6: Final answer
    x = 6,332.32

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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.