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Finding the Fourth Proportional to 10,999.14, 15,177.69 and 7,467

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Solution

The fourth proportional to 10,999.14, 15,177.69 and 7,467 is: 10,303.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.14 : 15,177.69 = 7,467 : x
  2. Step 2: Convert to fraction form
    10,999.14/15,177.69 = 7,467/x
  3. Step 3: Cross multiply
    10,999.14x = 15,177.69 × 7,467
  4. Step 4: Simplify right side
    10,999.14x = 113,331,811.23
  5. Step 5: Solve for x
    x = 113,331,811.23/10,999.14
  6. Step 6: Final answer
    x = 10,303.70

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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.