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Finding the Fourth Proportional to 7,656.76, 11,485.08 and 2,462.64

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Solution

The fourth proportional to 7,656.76, 11,485.08 and 2,462.64 is: 3,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.76 : 11,485.08 = 2,462.64 : x
  2. Step 2: Convert to fraction form
    7,656.76/11,485.08 = 2,462.64/x
  3. Step 3: Cross multiply
    7,656.76x = 11,485.08 × 2,462.64
  4. Step 4: Simplify right side
    7,656.76x = 28,283,617.41
  5. Step 5: Solve for x
    x = 28,283,617.41/7,656.76
  6. Step 6: Final answer
    x = 3,693.94

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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.