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Finding the Fourth Proportional to 7,527.92, 11,294.04 and 2,914.16

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Solution

The fourth proportional to 7,527.92, 11,294.04 and 2,914.16 is: 4,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.92 : 11,294.04 = 2,914.16 : x
  2. Step 2: Convert to fraction form
    7,527.92/11,294.04 = 2,914.16/x
  3. Step 3: Cross multiply
    7,527.92x = 11,294.04 × 2,914.16
  4. Step 4: Simplify right side
    7,527.92x = 32,912,639.61
  5. Step 5: Solve for x
    x = 32,912,639.61/7,527.92
  6. Step 6: Final answer
    x = 4,372.08

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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.