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Finding the Fourth Proportional to 7,718.58, 10,646.22 and 4,735.86

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Solution

The fourth proportional to 7,718.58, 10,646.22 and 4,735.86 is: 6,532.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.58 : 10,646.22 = 4,735.86 : x
  2. Step 2: Convert to fraction form
    7,718.58/10,646.22 = 4,735.86/x
  3. Step 3: Cross multiply
    7,718.58x = 10,646.22 × 4,735.86
  4. Step 4: Simplify right side
    7,718.58x = 50,419,007.45
  5. Step 5: Solve for x
    x = 50,419,007.45/7,718.58
  6. Step 6: Final answer
    x = 6,532.16

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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.