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Finding the Fourth Proportional to 8,485.70, 12,728.55 and 7,772.90

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Solution

The fourth proportional to 8,485.70, 12,728.55 and 7,772.90 is: 11,659.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,485.70 : 12,728.55 = 7,772.90 : x
  2. Step 2: Convert to fraction form
    8,485.70/12,728.55 = 7,772.90/x
  3. Step 3: Cross multiply
    8,485.70x = 12,728.55 × 7,772.90
  4. Step 4: Simplify right side
    8,485.70x = 98,937,746.30
  5. Step 5: Solve for x
    x = 98,937,746.30/8,485.70
  6. Step 6: Final answer
    x = 11,659.35

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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.