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Finding the Fourth Proportional to 7,491.40, 10,257.17 and 7,491.40

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Solution

The fourth proportional to 7,491.40, 10,257.17 and 7,491.40 is: 10,257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.40 : 10,257.17 = 7,491.40 : x
  2. Step 2: Convert to fraction form
    7,491.40/10,257.17 = 7,491.40/x
  3. Step 3: Cross multiply
    7,491.40x = 10,257.17 × 7,491.40
  4. Step 4: Simplify right side
    7,491.40x = 76,840,563.34
  5. Step 5: Solve for x
    x = 76,840,563.34/7,491.40
  6. Step 6: Final answer
    x = 10,257.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.