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Finding the Fourth Proportional to 8,140.66, 12,137.84 and 7,445.60

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Solution

The fourth proportional to 8,140.66, 12,137.84 and 7,445.60 is: 11,101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.66 : 12,137.84 = 7,445.60 : x
  2. Step 2: Convert to fraction form
    8,140.66/12,137.84 = 7,445.60/x
  3. Step 3: Cross multiply
    8,140.66x = 12,137.84 × 7,445.60
  4. Step 4: Simplify right side
    8,140.66x = 90,373,440.81
  5. Step 5: Solve for x
    x = 90,373,440.81/8,140.66
  6. Step 6: Final answer
    x = 11,101.49

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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.