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Finding the Fourth Proportional to 11,546.28, 15,930 and 6,509.70

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Solution

The fourth proportional to 11,546.28, 15,930 and 6,509.70 is: 8,981.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.28 : 15,930 = 6,509.70 : x
  2. Step 2: Convert to fraction form
    11,546.28/15,930 = 6,509.70/x
  3. Step 3: Cross multiply
    11,546.28x = 15,930 × 6,509.70
  4. Step 4: Simplify right side
    11,546.28x = 103,699,521
  5. Step 5: Solve for x
    x = 103,699,521/11,546.28
  6. Step 6: Final answer
    x = 8,981.21

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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.