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Finding the Fourth Proportional to 11,288.50, 15,578.13 and 6,320.50

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Solution

The fourth proportional to 11,288.50, 15,578.13 and 6,320.50 is: 8,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288.50 : 15,578.13 = 6,320.50 : x
  2. Step 2: Convert to fraction form
    11,288.50/15,578.13 = 6,320.50/x
  3. Step 3: Cross multiply
    11,288.50x = 15,578.13 × 6,320.50
  4. Step 4: Simplify right side
    11,288.50x = 98,461,570.67
  5. Step 5: Solve for x
    x = 98,461,570.67/11,288.50
  6. Step 6: Final answer
    x = 8,722.29

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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.