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Finding the Fourth Proportional to 7,729.60, 11,587.20 and 5,389.60

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Solution

The fourth proportional to 7,729.60, 11,587.20 and 5,389.60 is: 8,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.60 : 11,587.20 = 5,389.60 : x
  2. Step 2: Convert to fraction form
    7,729.60/11,587.20 = 5,389.60/x
  3. Step 3: Cross multiply
    7,729.60x = 11,587.20 × 5,389.60
  4. Step 4: Simplify right side
    7,729.60x = 62,450,373.12
  5. Step 5: Solve for x
    x = 62,450,373.12/7,729.60
  6. Step 6: Final answer
    x = 8,079.38

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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.