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Finding the Fourth Proportional to 7,527.12, 10,380.06 and 5,739.18

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Solution

The fourth proportional to 7,527.12, 10,380.06 and 5,739.18 is: 7,914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.12 : 10,380.06 = 5,739.18 : x
  2. Step 2: Convert to fraction form
    7,527.12/10,380.06 = 5,739.18/x
  3. Step 3: Cross multiply
    7,527.12x = 10,380.06 × 5,739.18
  4. Step 4: Simplify right side
    7,527.12x = 59,573,032.75
  5. Step 5: Solve for x
    x = 59,573,032.75/7,527.12
  6. Step 6: Final answer
    x = 7,914.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.