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Finding the Fourth Proportional to 7,461.90, 11,186.37 and 4,869.90

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Solution

The fourth proportional to 7,461.90, 11,186.37 and 4,869.90 is: 7,300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.90 : 11,186.37 = 4,869.90 : x
  2. Step 2: Convert to fraction form
    7,461.90/11,186.37 = 4,869.90/x
  3. Step 3: Cross multiply
    7,461.90x = 11,186.37 × 4,869.90
  4. Step 4: Simplify right side
    7,461.90x = 54,476,503.26
  5. Step 5: Solve for x
    x = 54,476,503.26/7,461.90
  6. Step 6: Final answer
    x = 7,300.62

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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.