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Finding the Fourth Proportional to 10,425.70, 14,386.98 and 5,709.88

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Solution

The fourth proportional to 10,425.70, 14,386.98 and 5,709.88 is: 7,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.70 : 14,386.98 = 5,709.88 : x
  2. Step 2: Convert to fraction form
    10,425.70/14,386.98 = 5,709.88/x
  3. Step 3: Cross multiply
    10,425.70x = 14,386.98 × 5,709.88
  4. Step 4: Simplify right side
    10,425.70x = 82,147,929.36
  5. Step 5: Solve for x
    x = 82,147,929.36/10,425.70
  6. Step 6: Final answer
    x = 7,879.37

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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.