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Finding the Fourth Proportional to 7,527.90, 10,385.43 and 5,427.42

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Solution

The fourth proportional to 7,527.90, 10,385.43 and 5,427.42 is: 7,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.90 : 10,385.43 = 5,427.42 : x
  2. Step 2: Convert to fraction form
    7,527.90/10,385.43 = 5,427.42/x
  3. Step 3: Cross multiply
    7,527.90x = 10,385.43 × 5,427.42
  4. Step 4: Simplify right side
    7,527.90x = 56,366,090.49
  5. Step 5: Solve for x
    x = 56,366,090.49/7,527.90
  6. Step 6: Final answer
    x = 7,487.62

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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.