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Finding the Fourth Proportional to 7,770.37, 11,658.46 and 4,652.58

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Solution

The fourth proportional to 7,770.37, 11,658.46 and 4,652.58 is: 6,980.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.37 : 11,658.46 = 4,652.58 : x
  2. Step 2: Convert to fraction form
    7,770.37/11,658.46 = 4,652.58/x
  3. Step 3: Cross multiply
    7,770.37x = 11,658.46 × 4,652.58
  4. Step 4: Simplify right side
    7,770.37x = 54,241,917.83
  5. Step 5: Solve for x
    x = 54,241,917.83/7,770.37
  6. Step 6: Final answer
    x = 6,980.61

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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.