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Finding the Fourth Proportional to 7,840.52, 11,765.40 and 3,162.80

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Solution

The fourth proportional to 7,840.52, 11,765.40 and 3,162.80 is: 4,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.52 : 11,765.40 = 3,162.80 : x
  2. Step 2: Convert to fraction form
    7,840.52/11,765.40 = 3,162.80/x
  3. Step 3: Cross multiply
    7,840.52x = 11,765.40 × 3,162.80
  4. Step 4: Simplify right side
    7,840.52x = 37,211,607.12
  5. Step 5: Solve for x
    x = 37,211,607.12/7,840.52
  6. Step 6: Final answer
    x = 4,746.06

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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.