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Finding the Fourth Proportional to 7,527.50, 10,387.96 and 4,215.50

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Solution

The fourth proportional to 7,527.50, 10,387.96 and 4,215.50 is: 5,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527.50 : 10,387.96 = 4,215.50 : x
  2. Step 2: Convert to fraction form
    7,527.50/10,387.96 = 4,215.50/x
  3. Step 3: Cross multiply
    7,527.50x = 10,387.96 × 4,215.50
  4. Step 4: Simplify right side
    7,527.50x = 43,790,445.38
  5. Step 5: Solve for x
    x = 43,790,445.38/7,527.50
  6. Step 6: Final answer
    x = 5,817.40

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Why These Related Problems?

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