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Finding the Fourth Proportional to 11,693.80, 16,136.55 and 6,657.02

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Solution

The fourth proportional to 11,693.80, 16,136.55 and 6,657.02 is: 9,186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.80 : 16,136.55 = 6,657.02 : x
  2. Step 2: Convert to fraction form
    11,693.80/16,136.55 = 6,657.02/x
  3. Step 3: Cross multiply
    11,693.80x = 16,136.55 × 6,657.02
  4. Step 4: Simplify right side
    11,693.80x = 107,421,315.91
  5. Step 5: Solve for x
    x = 107,421,315.91/11,693.80
  6. Step 6: Final answer
    x = 9,186.18

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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.