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Finding the Fourth Proportional to 7,735.77, 10,676.61 and 4,549.64

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Solution

The fourth proportional to 7,735.77, 10,676.61 and 4,549.64 is: 6,279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.77 : 10,676.61 = 4,549.64 : x
  2. Step 2: Convert to fraction form
    7,735.77/10,676.61 = 4,549.64/x
  3. Step 3: Cross multiply
    7,735.77x = 10,676.61 × 4,549.64
  4. Step 4: Simplify right side
    7,735.77x = 48,574,678.54
  5. Step 5: Solve for x
    x = 48,574,678.54/7,735.77
  6. Step 6: Final answer
    x = 6,279.23

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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.