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Finding the Fourth Proportional to 10,822.95, 16,215.29 and 7,520.58

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Solution

The fourth proportional to 10,822.95, 16,215.29 and 7,520.58 is: 11,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.95 : 16,215.29 = 7,520.58 : x
  2. Step 2: Convert to fraction form
    10,822.95/16,215.29 = 7,520.58/x
  3. Step 3: Cross multiply
    10,822.95x = 16,215.29 × 7,520.58
  4. Step 4: Simplify right side
    10,822.95x = 121,948,376.27
  5. Step 5: Solve for x
    x = 121,948,376.27/10,822.95
  6. Step 6: Final answer
    x = 11,267.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.