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Finding the Fourth Proportional to 7,627.40, 11,445 and 5,777.90

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Solution

The fourth proportional to 7,627.40, 11,445 and 5,777.90 is: 8,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.40 : 11,445 = 5,777.90 : x
  2. Step 2: Convert to fraction form
    7,627.40/11,445 = 5,777.90/x
  3. Step 3: Cross multiply
    7,627.40x = 11,445 × 5,777.90
  4. Step 4: Simplify right side
    7,627.40x = 66,128,065.50
  5. Step 5: Solve for x
    x = 66,128,065.50/7,627.40
  6. Step 6: Final answer
    x = 8,669.80

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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.