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Finding the Fourth Proportional to 7,655.49, 11,487.15 and 3,271.77

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Solution

The fourth proportional to 7,655.49, 11,487.15 and 3,271.77 is: 4,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.49 : 11,487.15 = 3,271.77 : x
  2. Step 2: Convert to fraction form
    7,655.49/11,487.15 = 3,271.77/x
  3. Step 3: Cross multiply
    7,655.49x = 11,487.15 × 3,271.77
  4. Step 4: Simplify right side
    7,655.49x = 37,583,312.76
  5. Step 5: Solve for x
    x = 37,583,312.76/7,655.49
  6. Step 6: Final answer
    x = 4,909.33

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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.