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Finding the Fourth Proportional to 10,566.90, 14,581.94 and 6,090.84

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Solution

The fourth proportional to 10,566.90, 14,581.94 and 6,090.84 is: 8,405.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.90 : 14,581.94 = 6,090.84 : x
  2. Step 2: Convert to fraction form
    10,566.90/14,581.94 = 6,090.84/x
  3. Step 3: Cross multiply
    10,566.90x = 14,581.94 × 6,090.84
  4. Step 4: Simplify right side
    10,566.90x = 88,816,232.98
  5. Step 5: Solve for x
    x = 88,816,232.98/10,566.90
  6. Step 6: Final answer
    x = 8,405.14

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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.