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Finding the Fourth Proportional to 10,688.67, 14,750.94 and 6,441.08

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Solution

The fourth proportional to 10,688.67, 14,750.94 and 6,441.08 is: 8,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,688.67 : 14,750.94 = 6,441.08 : x
  2. Step 2: Convert to fraction form
    10,688.67/14,750.94 = 6,441.08/x
  3. Step 3: Cross multiply
    10,688.67x = 14,750.94 × 6,441.08
  4. Step 4: Simplify right side
    10,688.67x = 95,011,910.86
  5. Step 5: Solve for x
    x = 95,011,910.86/10,688.67
  6. Step 6: Final answer
    x = 8,889.03

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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.