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Finding the Fourth Proportional to 10,175.93, 15,258.65 and 6,017.21

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Solution

The fourth proportional to 10,175.93, 15,258.65 and 6,017.21 is: 9,022.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,175.93 : 15,258.65 = 6,017.21 : x
  2. Step 2: Convert to fraction form
    10,175.93/15,258.65 = 6,017.21/x
  3. Step 3: Cross multiply
    10,175.93x = 15,258.65 × 6,017.21
  4. Step 4: Simplify right side
    10,175.93x = 91,814,545.89
  5. Step 5: Solve for x
    x = 91,814,545.89/10,175.93
  6. Step 6: Final answer
    x = 9,022.72

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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.