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Finding the Fourth Proportional to 7,986.52, 11,980.98 and 4,868.82

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Solution

The fourth proportional to 7,986.52, 11,980.98 and 4,868.82 is: 7,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.52 : 11,980.98 = 4,868.82 : x
  2. Step 2: Convert to fraction form
    7,986.52/11,980.98 = 4,868.82/x
  3. Step 3: Cross multiply
    7,986.52x = 11,980.98 × 4,868.82
  4. Step 4: Simplify right side
    7,986.52x = 58,333,235.04
  5. Step 5: Solve for x
    x = 58,333,235.04/7,986.52
  6. Step 6: Final answer
    x = 7,303.96

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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.