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Finding the Fourth Proportional to 7,735.16, 10,662.06 and 6,053.86

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Solution

The fourth proportional to 7,735.16, 10,662.06 and 6,053.86 is: 8,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.16 : 10,662.06 = 6,053.86 : x
  2. Step 2: Convert to fraction form
    7,735.16/10,662.06 = 6,053.86/x
  3. Step 3: Cross multiply
    7,735.16x = 10,662.06 × 6,053.86
  4. Step 4: Simplify right side
    7,735.16x = 64,546,618.55
  5. Step 5: Solve for x
    x = 64,546,618.55/7,735.16
  6. Step 6: Final answer
    x = 8,344.57

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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.