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Finding the Fourth Proportional to 7,527.79, 11,302.03 and 3,832.50

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Solution

The fourth proportional to 7,527.79, 11,302.03 and 3,832.50 is: 5,754.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.79 : 11,302.03 = 3,832.50 : x
  2. Step 2: Convert to fraction form
    7,527.79/11,302.03 = 3,832.50/x
  3. Step 3: Cross multiply
    7,527.79x = 11,302.03 × 3,832.50
  4. Step 4: Simplify right side
    7,527.79x = 43,315,010.81
  5. Step 5: Solve for x
    x = 43,315,010.81/7,527.79
  6. Step 6: Final answer
    x = 5,754.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.