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Finding the Fourth Proportional to 11,154.69, 15,392.34 and 7,172.83

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Solution

The fourth proportional to 11,154.69, 15,392.34 and 7,172.83 is: 9,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154.69 : 15,392.34 = 7,172.83 : x
  2. Step 2: Convert to fraction form
    11,154.69/15,392.34 = 7,172.83/x
  3. Step 3: Cross multiply
    11,154.69x = 15,392.34 × 7,172.83
  4. Step 4: Simplify right side
    11,154.69x = 110,406,638.12
  5. Step 5: Solve for x
    x = 110,406,638.12/11,154.69
  6. Step 6: Final answer
    x = 9,897.78

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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.