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Finding the Fourth Proportional to 7,461.04, 10,363.72 and 7,342

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Solution

The fourth proportional to 7,461.04, 10,363.72 and 7,342 is: 10,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.04 : 10,363.72 = 7,342 : x
  2. Step 2: Convert to fraction form
    7,461.04/10,363.72 = 7,342/x
  3. Step 3: Cross multiply
    7,461.04x = 10,363.72 × 7,342
  4. Step 4: Simplify right side
    7,461.04x = 76,090,432.24
  5. Step 5: Solve for x
    x = 76,090,432.24/7,461.04
  6. Step 6: Final answer
    x = 10,198.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.