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Finding the Fourth Proportional to 7,552, 11,317.05 and 4,258.09

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Solution

The fourth proportional to 7,552, 11,317.05 and 4,258.09 is: 6,380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552 : 11,317.05 = 4,258.09 : x
  2. Step 2: Convert to fraction form
    7,552/11,317.05 = 4,258.09/x
  3. Step 3: Cross multiply
    7,552x = 11,317.05 × 4,258.09
  4. Step 4: Simplify right side
    7,552x = 48,189,017.43
  5. Step 5: Solve for x
    x = 48,189,017.43/7,552
  6. Step 6: Final answer
    x = 6,380.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.