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Finding the Fourth Proportional to 5,846.60, 8,786.10 and 5,133.80

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Solution

The fourth proportional to 5,846.60, 8,786.10 and 5,133.80 is: 7,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.60 : 8,786.10 = 5,133.80 : x
  2. Step 2: Convert to fraction form
    5,846.60/8,786.10 = 5,133.80/x
  3. Step 3: Cross multiply
    5,846.60x = 8,786.10 × 5,133.80
  4. Step 4: Simplify right side
    5,846.60x = 45,106,080.18
  5. Step 5: Solve for x
    x = 45,106,080.18/5,846.60
  6. Step 6: Final answer
    x = 7,714.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.