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Finding the Fourth Proportional to 8,505.58, 11,738.23 and 4,728.77

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Solution

The fourth proportional to 8,505.58, 11,738.23 and 4,728.77 is: 6,526.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.58 : 11,738.23 = 4,728.77 : x
  2. Step 2: Convert to fraction form
    8,505.58/11,738.23 = 4,728.77/x
  3. Step 3: Cross multiply
    8,505.58x = 11,738.23 × 4,728.77
  4. Step 4: Simplify right side
    8,505.58x = 55,507,407.40
  5. Step 5: Solve for x
    x = 55,507,407.40/8,505.58
  6. Step 6: Final answer
    x = 6,526.00

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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.