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Finding the Fourth Proportional to 6,729.57, 10,088.12 and 6,175.89

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Solution

The fourth proportional to 6,729.57, 10,088.12 and 6,175.89 is: 9,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.57 : 10,088.12 = 6,175.89 : x
  2. Step 2: Convert to fraction form
    6,729.57/10,088.12 = 6,175.89/x
  3. Step 3: Cross multiply
    6,729.57x = 10,088.12 × 6,175.89
  4. Step 4: Simplify right side
    6,729.57x = 62,303,088.55
  5. Step 5: Solve for x
    x = 62,303,088.55/6,729.57
  6. Step 6: Final answer
    x = 9,258.11

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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.