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Finding the Fourth Proportional to 7,409.34, 11,101.68 and 5,214.15

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Solution

The fourth proportional to 7,409.34, 11,101.68 and 5,214.15 is: 7,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.34 : 11,101.68 = 5,214.15 : x
  2. Step 2: Convert to fraction form
    7,409.34/11,101.68 = 5,214.15/x
  3. Step 3: Cross multiply
    7,409.34x = 11,101.68 × 5,214.15
  4. Step 4: Simplify right side
    7,409.34x = 57,885,824.77
  5. Step 5: Solve for x
    x = 57,885,824.77/7,409.34
  6. Step 6: Final answer
    x = 7,812.55

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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.