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Finding the Fourth Proportional to 7,468.96, 11,242.36 and 6,341.44

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Solution

The fourth proportional to 7,468.96, 11,242.36 and 6,341.44 is: 9,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.96 : 11,242.36 = 6,341.44 : x
  2. Step 2: Convert to fraction form
    7,468.96/11,242.36 = 6,341.44/x
  3. Step 3: Cross multiply
    7,468.96x = 11,242.36 × 6,341.44
  4. Step 4: Simplify right side
    7,468.96x = 71,292,751.40
  5. Step 5: Solve for x
    x = 71,292,751.40/7,468.96
  6. Step 6: Final answer
    x = 9,545.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.