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Finding the Fourth Proportional to 7,657.30, 11,485.95 and 2,466.82

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Solution

The fourth proportional to 7,657.30, 11,485.95 and 2,466.82 is: 3,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.30 : 11,485.95 = 2,466.82 : x
  2. Step 2: Convert to fraction form
    7,657.30/11,485.95 = 2,466.82/x
  3. Step 3: Cross multiply
    7,657.30x = 11,485.95 × 2,466.82
  4. Step 4: Simplify right side
    7,657.30x = 28,333,771.18
  5. Step 5: Solve for x
    x = 28,333,771.18/7,657.30
  6. Step 6: Final answer
    x = 3,700.23

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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.