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Finding the Fourth Proportional to 8,561.64, 11,816.25 and 4,785.06

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Solution

The fourth proportional to 8,561.64, 11,816.25 and 4,785.06 is: 6,604.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,561.64 : 11,816.25 = 4,785.06 : x
  2. Step 2: Convert to fraction form
    8,561.64/11,816.25 = 4,785.06/x
  3. Step 3: Cross multiply
    8,561.64x = 11,816.25 × 4,785.06
  4. Step 4: Simplify right side
    8,561.64x = 56,541,465.23
  5. Step 5: Solve for x
    x = 56,541,465.23/8,561.64
  6. Step 6: Final answer
    x = 6,604.05

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