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Finding the Fourth Proportional to 8,385.09, 12,573.75 and 7,728.45

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Solution

The fourth proportional to 8,385.09, 12,573.75 and 7,728.45 is: 11,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385.09 : 12,573.75 = 7,728.45 : x
  2. Step 2: Convert to fraction form
    8,385.09/12,573.75 = 7,728.45/x
  3. Step 3: Cross multiply
    8,385.09x = 12,573.75 × 7,728.45
  4. Step 4: Simplify right side
    8,385.09x = 97,175,598.19
  5. Step 5: Solve for x
    x = 97,175,598.19/8,385.09
  6. Step 6: Final answer
    x = 11,589.09

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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.