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Finding the Fourth Proportional to 6,585.37, 9,885.77 and 5,199.64

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Solution

The fourth proportional to 6,585.37, 9,885.77 and 5,199.64 is: 7,805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.37 : 9,885.77 = 5,199.64 : x
  2. Step 2: Convert to fraction form
    6,585.37/9,885.77 = 5,199.64/x
  3. Step 3: Cross multiply
    6,585.37x = 9,885.77 × 5,199.64
  4. Step 4: Simplify right side
    6,585.37x = 51,402,369.70
  5. Step 5: Solve for x
    x = 51,402,369.70/6,585.37
  6. Step 6: Final answer
    x = 7,805.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.