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Finding the Fourth Proportional to 7,626.96, 11,442.12 and 4,341.60

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Solution

The fourth proportional to 7,626.96, 11,442.12 and 4,341.60 is: 6,513.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626.96 : 11,442.12 = 4,341.60 : x
  2. Step 2: Convert to fraction form
    7,626.96/11,442.12 = 4,341.60/x
  3. Step 3: Cross multiply
    7,626.96x = 11,442.12 × 4,341.60
  4. Step 4: Simplify right side
    7,626.96x = 49,677,108.19
  5. Step 5: Solve for x
    x = 49,677,108.19/7,626.96
  6. Step 6: Final answer
    x = 6,513.36

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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.