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Finding the Fourth Proportional to 8,283.53, 11,432.91 and 4,698.56

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Solution

The fourth proportional to 8,283.53, 11,432.91 and 4,698.56 is: 6,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.53 : 11,432.91 = 4,698.56 : x
  2. Step 2: Convert to fraction form
    8,283.53/11,432.91 = 4,698.56/x
  3. Step 3: Cross multiply
    8,283.53x = 11,432.91 × 4,698.56
  4. Step 4: Simplify right side
    8,283.53x = 53,718,156.45
  5. Step 5: Solve for x
    x = 53,718,156.45/8,283.53
  6. Step 6: Final answer
    x = 6,484.94

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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.