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Finding the Fourth Proportional to 11,637.12, 16,064.46 and 7,447.80

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Solution

The fourth proportional to 11,637.12, 16,064.46 and 7,447.80 is: 10,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.12 : 16,064.46 = 7,447.80 : x
  2. Step 2: Convert to fraction form
    11,637.12/16,064.46 = 7,447.80/x
  3. Step 3: Cross multiply
    11,637.12x = 16,064.46 × 7,447.80
  4. Step 4: Simplify right side
    11,637.12x = 119,644,885.19
  5. Step 5: Solve for x
    x = 119,644,885.19/11,637.12
  6. Step 6: Final answer
    x = 10,281.31

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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.