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Finding the Fourth Proportional to 7,657.76, 11,475.93 and 4,140.20

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Solution

The fourth proportional to 7,657.76, 11,475.93 and 4,140.20 is: 6,204.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.76 : 11,475.93 = 4,140.20 : x
  2. Step 2: Convert to fraction form
    7,657.76/11,475.93 = 4,140.20/x
  3. Step 3: Cross multiply
    7,657.76x = 11,475.93 × 4,140.20
  4. Step 4: Simplify right side
    7,657.76x = 47,512,645.39
  5. Step 5: Solve for x
    x = 47,512,645.39/7,657.76
  6. Step 6: Final answer
    x = 6,204.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.