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Finding the Fourth Proportional to 11,237.71, 16,853.83 and 4,657.58

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Solution

The fourth proportional to 11,237.71, 16,853.83 and 4,657.58 is: 6,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.71 : 16,853.83 = 4,657.58 : x
  2. Step 2: Convert to fraction form
    11,237.71/16,853.83 = 4,657.58/x
  3. Step 3: Cross multiply
    11,237.71x = 16,853.83 × 4,657.58
  4. Step 4: Simplify right side
    11,237.71x = 78,498,061.53
  5. Step 5: Solve for x
    x = 78,498,061.53/11,237.71
  6. Step 6: Final answer
    x = 6,985.24

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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.