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Finding the Fourth Proportional to 7,965.80, 11,948.70 and 4,509.80

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Solution

The fourth proportional to 7,965.80, 11,948.70 and 4,509.80 is: 6,764.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.80 : 11,948.70 = 4,509.80 : x
  2. Step 2: Convert to fraction form
    7,965.80/11,948.70 = 4,509.80/x
  3. Step 3: Cross multiply
    7,965.80x = 11,948.70 × 4,509.80
  4. Step 4: Simplify right side
    7,965.80x = 53,886,247.26
  5. Step 5: Solve for x
    x = 53,886,247.26/7,965.80
  6. Step 6: Final answer
    x = 6,764.70

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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.