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Finding the Fourth Proportional to 7,527.72, 10,393.44 and 5,756.24

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Solution

The fourth proportional to 7,527.72, 10,393.44 and 5,756.24 is: 7,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.72 : 10,393.44 = 5,756.24 : x
  2. Step 2: Convert to fraction form
    7,527.72/10,393.44 = 5,756.24/x
  3. Step 3: Cross multiply
    7,527.72x = 10,393.44 × 5,756.24
  4. Step 4: Simplify right side
    7,527.72x = 59,827,135.07
  5. Step 5: Solve for x
    x = 59,827,135.07/7,527.72
  6. Step 6: Final answer
    x = 7,947.58

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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.