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Finding the Fourth Proportional to 6,312.75, 8,711.65 and 3,480.23

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Solution

The fourth proportional to 6,312.75, 8,711.65 and 3,480.23 is: 4,802.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.75 : 8,711.65 = 3,480.23 : x
  2. Step 2: Convert to fraction form
    6,312.75/8,711.65 = 3,480.23/x
  3. Step 3: Cross multiply
    6,312.75x = 8,711.65 × 3,480.23
  4. Step 4: Simplify right side
    6,312.75x = 30,318,484.72
  5. Step 5: Solve for x
    x = 30,318,484.72/6,312.75
  6. Step 6: Final answer
    x = 4,802.74

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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.