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Finding the Fourth Proportional to 7,788.60, 11,627.46 and 7,515.24

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Solution

The fourth proportional to 7,788.60, 11,627.46 and 7,515.24 is: 11,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,788.60 : 11,627.46 = 7,515.24 : x
  2. Step 2: Convert to fraction form
    7,788.60/11,627.46 = 7,515.24/x
  3. Step 3: Cross multiply
    7,788.60x = 11,627.46 × 7,515.24
  4. Step 4: Simplify right side
    7,788.60x = 87,383,152.49
  5. Step 5: Solve for x
    x = 87,383,152.49/7,788.60
  6. Step 6: Final answer
    x = 11,219.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.