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Finding the Fourth Proportional to 8,289.05, 11,430.29 and 6,400.94

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Solution

The fourth proportional to 8,289.05, 11,430.29 and 6,400.94 is: 8,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.05 : 11,430.29 = 6,400.94 : x
  2. Step 2: Convert to fraction form
    8,289.05/11,430.29 = 6,400.94/x
  3. Step 3: Cross multiply
    8,289.05x = 11,430.29 × 6,400.94
  4. Step 4: Simplify right side
    8,289.05x = 73,164,511.32
  5. Step 5: Solve for x
    x = 73,164,511.32/8,289.05
  6. Step 6: Final answer
    x = 8,826.65

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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.