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Finding the Fourth Proportional to 10,568.85, 14,587.32 and 6,984.42

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Solution

The fourth proportional to 10,568.85, 14,587.32 and 6,984.42 is: 9,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.85 : 14,587.32 = 6,984.42 : x
  2. Step 2: Convert to fraction form
    10,568.85/14,587.32 = 6,984.42/x
  3. Step 3: Cross multiply
    10,568.85x = 14,587.32 × 6,984.42
  4. Step 4: Simplify right side
    10,568.85x = 101,883,969.55
  5. Step 5: Solve for x
    x = 101,883,969.55/10,568.85
  6. Step 6: Final answer
    x = 9,640.02

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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.