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Finding the Fourth Proportional to 8,470.67, 11,688.59 and 4,692.83

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Solution

The fourth proportional to 8,470.67, 11,688.59 and 4,692.83 is: 6,475.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.67 : 11,688.59 = 4,692.83 : x
  2. Step 2: Convert to fraction form
    8,470.67/11,688.59 = 4,692.83/x
  3. Step 3: Cross multiply
    8,470.67x = 11,688.59 × 4,692.83
  4. Step 4: Simplify right side
    8,470.67x = 54,852,542.35
  5. Step 5: Solve for x
    x = 54,852,542.35/8,470.67
  6. Step 6: Final answer
    x = 6,475.58

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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.