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Finding the Fourth Proportional to 10,583.79, 14,598.97 and 6,811.84

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Solution

The fourth proportional to 10,583.79, 14,598.97 and 6,811.84 is: 9,396.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.79 : 14,598.97 = 6,811.84 : x
  2. Step 2: Convert to fraction form
    10,583.79/14,598.97 = 6,811.84/x
  3. Step 3: Cross multiply
    10,583.79x = 14,598.97 × 6,811.84
  4. Step 4: Simplify right side
    10,583.79x = 99,445,847.80
  5. Step 5: Solve for x
    x = 99,445,847.80/10,583.79
  6. Step 6: Final answer
    x = 9,396.05

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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.