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Finding the Fourth Proportional to 7,655.40, 11,483.10 and 2,461.28

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Solution

The fourth proportional to 7,655.40, 11,483.10 and 2,461.28 is: 3,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.40 : 11,483.10 = 2,461.28 : x
  2. Step 2: Convert to fraction form
    7,655.40/11,483.10 = 2,461.28/x
  3. Step 3: Cross multiply
    7,655.40x = 11,483.10 × 2,461.28
  4. Step 4: Simplify right side
    7,655.40x = 28,263,104.89
  5. Step 5: Solve for x
    x = 28,263,104.89/7,655.40
  6. Step 6: Final answer
    x = 3,691.92

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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.