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Finding the Fourth Proportional to 10,567.94, 14,584.12 and 6,318.86

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Solution

The fourth proportional to 10,567.94, 14,584.12 and 6,318.86 is: 8,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.94 : 14,584.12 = 6,318.86 : x
  2. Step 2: Convert to fraction form
    10,567.94/14,584.12 = 6,318.86/x
  3. Step 3: Cross multiply
    10,567.94x = 14,584.12 × 6,318.86
  4. Step 4: Simplify right side
    10,567.94x = 92,155,012.50
  5. Step 5: Solve for x
    x = 92,155,012.50/10,567.94
  6. Step 6: Final answer
    x = 8,720.24

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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.