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Finding the Fourth Proportional to 4,968.60, 6,863.67 and 4,706.16

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Solution

The fourth proportional to 4,968.60, 6,863.67 and 4,706.16 is: 6,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.60 : 6,863.67 = 4,706.16 : x
  2. Step 2: Convert to fraction form
    4,968.60/6,863.67 = 4,706.16/x
  3. Step 3: Cross multiply
    4,968.60x = 6,863.67 × 4,706.16
  4. Step 4: Simplify right side
    4,968.60x = 32,301,505.68
  5. Step 5: Solve for x
    x = 32,301,505.68/4,968.60
  6. Step 6: Final answer
    x = 6,501.13

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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.