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Finding the Fourth Proportional to 7,657.58, 11,477.14 and 3,957.82

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Solution

The fourth proportional to 7,657.58, 11,477.14 and 3,957.82 is: 5,931.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.58 : 11,477.14 = 3,957.82 : x
  2. Step 2: Convert to fraction form
    7,657.58/11,477.14 = 3,957.82/x
  3. Step 3: Cross multiply
    7,657.58x = 11,477.14 × 3,957.82
  4. Step 4: Simplify right side
    7,657.58x = 45,424,454.23
  5. Step 5: Solve for x
    x = 45,424,454.23/7,657.58
  6. Step 6: Final answer
    x = 5,931.96

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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.