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Finding the Fourth Proportional to 10,910.96, 16,332.72 and 7,158.43

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Solution

The fourth proportional to 10,910.96, 16,332.72 and 7,158.43 is: 10,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,910.96 : 16,332.72 = 7,158.43 : x
  2. Step 2: Convert to fraction form
    10,910.96/16,332.72 = 7,158.43/x
  3. Step 3: Cross multiply
    10,910.96x = 16,332.72 × 7,158.43
  4. Step 4: Simplify right side
    10,910.96x = 116,916,632.83
  5. Step 5: Solve for x
    x = 116,916,632.83/10,910.96
  6. Step 6: Final answer
    x = 10,715.52

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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.