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Finding the Fourth Proportional to 10,405.85, 14,359.82 and 5,690.03

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Solution

The fourth proportional to 10,405.85, 14,359.82 and 5,690.03 is: 7,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,405.85 : 14,359.82 = 5,690.03 : x
  2. Step 2: Convert to fraction form
    10,405.85/14,359.82 = 5,690.03/x
  3. Step 3: Cross multiply
    10,405.85x = 14,359.82 × 5,690.03
  4. Step 4: Simplify right side
    10,405.85x = 81,707,706.35
  5. Step 5: Solve for x
    x = 81,707,706.35/10,405.85
  6. Step 6: Final answer
    x = 7,852.10

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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.