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Finding the Fourth Proportional to 10,437.82, 14,405.10 and 5,723

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Solution

The fourth proportional to 10,437.82, 14,405.10 and 5,723 is: 7,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.82 : 14,405.10 = 5,723 : x
  2. Step 2: Convert to fraction form
    10,437.82/14,405.10 = 5,723/x
  3. Step 3: Cross multiply
    10,437.82x = 14,405.10 × 5,723
  4. Step 4: Simplify right side
    10,437.82x = 82,440,387.30
  5. Step 5: Solve for x
    x = 82,440,387.30/10,437.82
  6. Step 6: Final answer
    x = 7,898.24

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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.