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Finding the Fourth Proportional to 10,735.63, 14,807.68 and 10,374.37

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Solution

The fourth proportional to 10,735.63, 14,807.68 and 10,374.37 is: 14,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,735.63 : 14,807.68 = 10,374.37 : x
  2. Step 2: Convert to fraction form
    10,735.63/14,807.68 = 10,374.37/x
  3. Step 3: Cross multiply
    10,735.63x = 14,807.68 × 10,374.37
  4. Step 4: Simplify right side
    10,735.63x = 153,620,299.29
  5. Step 5: Solve for x
    x = 153,620,299.29/10,735.63
  6. Step 6: Final answer
    x = 14,309.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.