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Finding the Fourth Proportional to 11,963, 17,953.82 and 4,572.70

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Solution

The fourth proportional to 11,963, 17,953.82 and 4,572.70 is: 6,862.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963 : 17,953.82 = 4,572.70 : x
  2. Step 2: Convert to fraction form
    11,963/17,953.82 = 4,572.70/x
  3. Step 3: Cross multiply
    11,963x = 17,953.82 × 4,572.70
  4. Step 4: Simplify right side
    11,963x = 82,097,432.71
  5. Step 5: Solve for x
    x = 82,097,432.71/11,963
  6. Step 6: Final answer
    x = 6,862.61

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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.