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Finding the Fourth Proportional to 6,953.61, 10,433.06 and 4,182.20

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Solution

The fourth proportional to 6,953.61, 10,433.06 and 4,182.20 is: 6,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.61 : 10,433.06 = 4,182.20 : x
  2. Step 2: Convert to fraction form
    6,953.61/10,433.06 = 4,182.20/x
  3. Step 3: Cross multiply
    6,953.61x = 10,433.06 × 4,182.20
  4. Step 4: Simplify right side
    6,953.61x = 43,633,143.53
  5. Step 5: Solve for x
    x = 43,633,143.53/6,953.61
  6. Step 6: Final answer
    x = 6,274.89

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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.