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Finding the Fourth Proportional to 7,385.23, 11,005.85 and 7,171.99

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Solution

The fourth proportional to 7,385.23, 11,005.85 and 7,171.99 is: 10,688.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,385.23 : 11,005.85 = 7,171.99 : x
  2. Step 2: Convert to fraction form
    7,385.23/11,005.85 = 7,171.99/x
  3. Step 3: Cross multiply
    7,385.23x = 11,005.85 × 7,171.99
  4. Step 4: Simplify right side
    7,385.23x = 78,933,878.29
  5. Step 5: Solve for x
    x = 78,933,878.29/7,385.23
  6. Step 6: Final answer
    x = 10,688.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.