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Finding the Fourth Proportional to 7,477.80, 11,204.55 and 6,432.90

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Solution

The fourth proportional to 7,477.80, 11,204.55 and 6,432.90 is: 9,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.80 : 11,204.55 = 6,432.90 : x
  2. Step 2: Convert to fraction form
    7,477.80/11,204.55 = 6,432.90/x
  3. Step 3: Cross multiply
    7,477.80x = 11,204.55 × 6,432.90
  4. Step 4: Simplify right side
    7,477.80x = 72,077,749.70
  5. Step 5: Solve for x
    x = 72,077,749.70/7,477.80
  6. Step 6: Final answer
    x = 9,638.90

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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.