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Finding the Fourth Proportional to 11,654.55, 16,089.24 and 7,897.57

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Solution

The fourth proportional to 11,654.55, 16,089.24 and 7,897.57 is: 10,902.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.55 : 16,089.24 = 7,897.57 : x
  2. Step 2: Convert to fraction form
    11,654.55/16,089.24 = 7,897.57/x
  3. Step 3: Cross multiply
    11,654.55x = 16,089.24 × 7,897.57
  4. Step 4: Simplify right side
    11,654.55x = 127,065,899.15
  5. Step 5: Solve for x
    x = 127,065,899.15/11,654.55
  6. Step 6: Final answer
    x = 10,902.69

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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.