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Finding the Fourth Proportional to 7,655.76, 11,483.58 and 2,461.64

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Solution

The fourth proportional to 7,655.76, 11,483.58 and 2,461.64 is: 3,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.76 : 11,483.58 = 2,461.64 : x
  2. Step 2: Convert to fraction form
    7,655.76/11,483.58 = 2,461.64/x
  3. Step 3: Cross multiply
    7,655.76x = 11,483.58 × 2,461.64
  4. Step 4: Simplify right side
    7,655.76x = 28,268,439.87
  5. Step 5: Solve for x
    x = 28,268,439.87/7,655.76
  6. Step 6: Final answer
    x = 3,692.44

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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.