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Finding the Fourth Proportional to 7,615.04, 11,422.50 and 2,684.10

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Solution

The fourth proportional to 7,615.04, 11,422.50 and 2,684.10 is: 4,026.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.04 : 11,422.50 = 2,684.10 : x
  2. Step 2: Convert to fraction form
    7,615.04/11,422.50 = 2,684.10/x
  3. Step 3: Cross multiply
    7,615.04x = 11,422.50 × 2,684.10
  4. Step 4: Simplify right side
    7,615.04x = 30,659,132.25
  5. Step 5: Solve for x
    x = 30,659,132.25/7,615.04
  6. Step 6: Final answer
    x = 4,026.13

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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.