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Finding the Fourth Proportional to 10,140.36, 15,215.76 and 7,674.36

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Solution

The fourth proportional to 10,140.36, 15,215.76 and 7,674.36 is: 11,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.36 : 15,215.76 = 7,674.36 : x
  2. Step 2: Convert to fraction form
    10,140.36/15,215.76 = 7,674.36/x
  3. Step 3: Cross multiply
    10,140.36x = 15,215.76 × 7,674.36
  4. Step 4: Simplify right side
    10,140.36x = 116,771,219.91
  5. Step 5: Solve for x
    x = 116,771,219.91/10,140.36
  6. Step 6: Final answer
    x = 11,515.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.