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Finding the Fourth Proportional to 8,729.60, 13,068.80 and 7,705.60

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Solution

The fourth proportional to 8,729.60, 13,068.80 and 7,705.60 is: 11,535.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.60 : 13,068.80 = 7,705.60 : x
  2. Step 2: Convert to fraction form
    8,729.60/13,068.80 = 7,705.60/x
  3. Step 3: Cross multiply
    8,729.60x = 13,068.80 × 7,705.60
  4. Step 4: Simplify right side
    8,729.60x = 100,702,945.28
  5. Step 5: Solve for x
    x = 100,702,945.28/8,729.60
  6. Step 6: Final answer
    x = 11,535.80

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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.