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Finding the Fourth Proportional to 11,897.02, 17,832.66 and 7,740

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Solution

The fourth proportional to 11,897.02, 17,832.66 and 7,740 is: 11,601.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.02 : 17,832.66 = 7,740 : x
  2. Step 2: Convert to fraction form
    11,897.02/17,832.66 = 7,740/x
  3. Step 3: Cross multiply
    11,897.02x = 17,832.66 × 7,740
  4. Step 4: Simplify right side
    11,897.02x = 138,024,788.40
  5. Step 5: Solve for x
    x = 138,024,788.40/11,897.02
  6. Step 6: Final answer
    x = 11,601.63

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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.