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Finding the Fourth Proportional to 8,285.45, 11,433.58 and 4,746.20

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Solution

The fourth proportional to 8,285.45, 11,433.58 and 4,746.20 is: 6,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.45 : 11,433.58 = 4,746.20 : x
  2. Step 2: Convert to fraction form
    8,285.45/11,433.58 = 4,746.20/x
  3. Step 3: Cross multiply
    8,285.45x = 11,433.58 × 4,746.20
  4. Step 4: Simplify right side
    8,285.45x = 54,265,988.36
  5. Step 5: Solve for x
    x = 54,265,988.36/8,285.45
  6. Step 6: Final answer
    x = 6,549.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.