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Finding the Fourth Proportional to 7,201.48, 10,784.94 and 4,117

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Solution

The fourth proportional to 7,201.48, 10,784.94 and 4,117 is: 6,165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.48 : 10,784.94 = 4,117 : x
  2. Step 2: Convert to fraction form
    7,201.48/10,784.94 = 4,117/x
  3. Step 3: Cross multiply
    7,201.48x = 10,784.94 × 4,117
  4. Step 4: Simplify right side
    7,201.48x = 44,401,597.98
  5. Step 5: Solve for x
    x = 44,401,597.98/7,201.48
  6. Step 6: Final answer
    x = 6,165.62

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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.