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Finding the Fourth Proportional to 8,247.54, 11,385.53 and 5,526.77

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Solution

The fourth proportional to 8,247.54, 11,385.53 and 5,526.77 is: 7,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.54 : 11,385.53 = 5,526.77 : x
  2. Step 2: Convert to fraction form
    8,247.54/11,385.53 = 5,526.77/x
  3. Step 3: Cross multiply
    8,247.54x = 11,385.53 × 5,526.77
  4. Step 4: Simplify right side
    8,247.54x = 62,925,205.22
  5. Step 5: Solve for x
    x = 62,925,205.22/8,247.54
  6. Step 6: Final answer
    x = 7,629.57

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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.