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Finding the Fourth Proportional to 7,334.70, 11,004.10 and 2,407.80

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Solution

The fourth proportional to 7,334.70, 11,004.10 and 2,407.80 is: 3,612.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.70 : 11,004.10 = 2,407.80 : x
  2. Step 2: Convert to fraction form
    7,334.70/11,004.10 = 2,407.80/x
  3. Step 3: Cross multiply
    7,334.70x = 11,004.10 × 2,407.80
  4. Step 4: Simplify right side
    7,334.70x = 26,495,643.58
  5. Step 5: Solve for x
    x = 26,495,643.58/7,334.70
  6. Step 6: Final answer
    x = 3,612.37

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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.